Class 6 Maths · Original EZT practice
Fractions (Class 6 Maths Chapter 7): equal shares that you can measure, mark and add
Half a roti, a quarter of an hour, three parts out of ten - fractions are how we talk about parts of a whole, and once you see them as lengths, adding and comparing them stops being mysterious. Below: the ideas in plain words, then original EZT practice with worked answers. (Note: this is original practice, not a textbook exercise key.)
11 original worked examples, 11 fresh self-check questions, with explained answers. These are not copied textbook exercises, an official chapter index or a full answer key. No affiliation with NCERT is claimed.
Official sources for topic and edition context, checked 17 October 2026:
1. Fractional units and equal shares
A fraction comes from splitting one whole into EQUAL parts. Split a whole into 4 equal parts and each part is 1/4 - read "one fourth" or "one quarter". Three of those parts make 3/4. The bottom number (denominator) says how many equal parts the whole was cut into; the top number (numerator) says how many of those parts you have.
2. Fractions as lengths and on the number line
Think of a strip of length 1. Mark it into 3 equal lengths and each mark is 1/3, 2/3, 1. Fractions sit on the number line just like whole numbers - 1/2 sits exactly midway between 0 and 1, and 5/4 sits one quarter past 1.
3. Mixed fractions
An improper fraction like 7/5 can be written as a mixed fraction: 1 whole and 2/5 left over, written 1 2/5.
4. Equivalent fractions
Multiply or divide the numerator and denominator by the SAME number and the value does not change: 3/4 = 6/8 = 9/12. These are equivalent fractions - the same length with different names.
5. Comparing fractions
Same denominator: bigger numerator wins. Different denominators: rewrite both with a common denominator, then compare.
6. Adding and subtracting fractions
Same denominator: add the numerators, keep the denominator. Different denominators: make them match first.
Choose, solve, check, then try a fresh question.
Before calculating, read the method prompt and name the condition that makes it useful. Write your own attempt. Open the steps only when you need them, and use the check to catch a wrong sign, unit or interpretation. Finish with the fresh question before reading its answer.
A paratha is cut into 6 equal pieces and Meera eats 2. What fraction did she...
Choose the method: A fraction comes from splitting one whole into EQUAL parts.
EZT practice question
A paratha is cut into 6 equal pieces and Meera eats 2. What fraction did she eat, and what fraction is left?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: she ate 2/6 and 4/6 is left.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Where does 3/5 sit on the number line?
Choose the method: Think of a strip of length 1.
EZT practice question
Where does 3/5 sit on the number line?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: divide the gap from 0 to 1 into 5 equal parts; 3/5 is at the third mark.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Is 7/4 less than 1 or more than 1? How do you know?
Choose the method: Think of a strip of length 1.
EZT practice question
Is 7/4 less than 1 or more than 1? How do you know?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: more than 1 - 4 quarters make 1 whole, and 7 quarters is 3 quarters beyond that.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Write 7/5 as a mixed fraction.
Choose the method: An improper fraction like 7/5 can be written as a mixed fraction: 1 whole and 2/5 left over, written 1 2/5.
EZT practice question
Write 7/5 as a mixed fraction.
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 1 2/5 (5/5 = 1 whole, 2/5 remains).
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Write 1 2/5 as an improper fraction.
Choose the method: An improper fraction like 7/5 can be written as a mixed fraction: 1 whole and 2/5 left over, written 1 2/5.
EZT practice question
Write 1 2/5 as an improper fraction.
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 5/5 + 2/5 = 7/5.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Fill in the blank: 3/4 = ?/12.
Choose the method: Multiply or divide the numerator and denominator by the SAME number and the value does not change: 3/4 = 6/8 = 9/12.
EZT practice question
Fill in the blank: 3/4 = ?/12.
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 9 - multiply top and bottom by 3, so 3/4 = 9/12.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Are 2/3 and 8/12 equivalent?
Choose the method: Multiply or divide the numerator and denominator by the SAME number and the value does not change: 3/4 = 6/8 = 9/12.
EZT practice question
Are 2/3 and 8/12 equivalent?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: yes - 2/3 x 4/4 = 8/12.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Which is greater, 5/8 or 3/5?
Choose the method: Same denominator: bigger numerator wins.
EZT practice question
Which is greater, 5/8 or 3/5?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: use 40 as a common denominator - 5/8 = 25/40 and 3/5 = 24/40, so 5/8 is greater.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Which is greater, 5/6 or 7/9?
Choose the method: Same denominator: bigger numerator wins.
EZT practice question
Which is greater, 5/6 or 7/9?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 5/6 = 15/18 and 7/9 = 14/18, so 5/6 is greater.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
2/3 + 3/4 = ?
Choose the method: Same denominator: add the numerators, keep the denominator.
EZT practice question
2/3 + 3/4 = ?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 8/12 + 9/12 = 17/12 = 1 5/12.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
7/8 - 1/4 = ?
Choose the method: Same denominator: add the numerators, keep the denominator.
EZT practice question
7/8 - 1/4 = ?
Show the worked solution
- Identify the whole, the number of equal parts and the parts being used.
- Show the fraction as a length or rewrite it with a common denominator when needed.
- Calculate, compare or convert and state the fraction in its clearest form.
Answer: 7/8 - 2/8 = 5/8.
Check: The numerator and denominator match the equal parts, and any mixed or equivalent form has the same value.
Watch for this: Do not compare or add fractions until the parts are equal; the denominator names the size of each part, not another number to add.
Now try it yourself
Create one new example by changing the numbers, characters, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Try it yourself
Work these on paper before checking any notes. Answers are deliberately not shown here.
- Shade-thinking: a chocolate bar has 10 equal squares, you eat 3 - what fraction is left?
- Write 11/4 as a mixed fraction.
- Is 4/6 equivalent to 2/3?
- Which is greater, 3/10 or 2/7?
- 3/10 + 4/10 = ?
- 1 1/2 + 2 1/4 = ?
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Questions about this practice page
- What do the numerator and denominator tell you?
- the denominator says how many equal parts the whole is split into; the numerator says how many of those parts you have.
- What is a mixed fraction?
- a whole number plus a proper fraction - for example 7/5 = 1 2/5.
- How do you check if two fractions are equivalent?
- multiply or divide the top and bottom of one by the same number; if you can reach the other, they are equivalent (2/3 = 8/12).
- How do you compare fractions with different denominators?
- rewrite both with a common denominator, then compare numerators (5/8 = 25/40 beats 3/5 = 24/40).
- Are these the NCERT exercise questions for Fractions?
- No. EZT pages are original practice on this chapter - use them to prepare for the textbook exercises, not as a substitute for your book.