CBSE Class 7  >  Class 7 Notes  >  Mathematics (Ganita Prakash) - New NCERT Part 1 & 2  >  Worksheet: Working with Fractions

Worksheet: Working with Fractions | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

Section A: Multiple Choice Questions

Q1: Reema spends 3/4 litre of paint to colour 6 chairs. How much paint does she use for 1 chair?

(a) 1/8 litre
(b) 
1/10 litre
(c) 
1/12 litre
(d) 
1/16 litre

Q2: A baker has 5 kg of flour. He uses 1/5 kg for each loaf of bread. How many loaves can he bake?

(a) 15
(b) 
20
(c) 
22
(d) 25

Q3: When one number is between 0 and 1, the product is ___ than the other number.
(a) greater
(b) less
(c) equal
(d) none of these

Section B: Fill in the Blanks

Q4: Section B: Fill in the Blanks

Q5:Section B: Fill in the Blanks

Q6:Section B: Fill in the Blanks

Section C: Word Problems

Q7: Maya plants four saplings in a row, with 3/4 m between two saplings. Find the distance between the first and last saplings?
Q8: A bus covers 12 km using 1 litre of diesel. How far will it go using 3½ litres of diesel?
Q9: Tanish drinks 1/2 glass of milk every day. How many glasses of milk does he drink in a week?
Q10: Ravi filled 8 glasses of juice using 2 litres of juice. How much juice is in each glass?

For Worksheet Solutions, go to Worksheet Solutions: Working with Fractions

The document Worksheet: Working with Fractions is a part of the Class 7 Course Mathematics (Ganita Prakash) Class 7 - New NCERT Part 1 & 2.
All you need of Class 7 at this link: Class 7

FAQs on Worksheet: Working with Fractions

1. How do I add and subtract fractions with different denominators?
Ans. To add or subtract fractions with different denominators, find the least common multiple (LCM) of the denominators, convert both fractions to equivalent fractions with this common denominator, then add or subtract the numerators while keeping the denominator unchanged. For example, 1/2 + 1/3 becomes 3/6 + 2/6 = 5/6. This method ensures accurate calculation when working with unlike fractions.
2. What's the difference between proper fractions, improper fractions, and mixed numbers in CBSE Class 7?
Ans. Proper fractions have numerators smaller than denominators (like 3/5), improper fractions have numerators equal to or larger than denominators (like 7/4), and mixed numbers combine whole numbers with proper fractions (like 2¾). Understanding these distinctions helps simplify fraction operations and convert between forms during problem-solving.
3. How do I multiply and divide fractions correctly?
Ans. For multiplication, multiply numerators together and denominators together directly-no common denominator needed. For division, flip the second fraction (reciprocal) and multiply. Example: 2/3 ÷ 4/5 becomes 2/3 × 5/4 = 10/12. Simplifying the result to lowest terms ensures the answer is in standard form.
4. Why do I need to simplify fractions and how do I find the simplest form?
Ans. Simplifying fractions reduces them to their lowest terms, making calculations easier and answers clearer. Find the greatest common factor (GCF) of numerator and denominator, then divide both by it. For instance, 8/12 simplified becomes 2/3 after dividing by their GCF of 4. Simplified fractions are always preferred in final answers.
5. Can I compare fractions with different denominators, and what's the easiest method?
Ans. Yes, compare fractions by converting them to a common denominator or using cross-multiplication. For 2/3 and 3/5, the common denominator method gives 10/15 versus 9/15, so 2/3 is larger. Cross-multiplication (2×5 versus 3×3) provides a quicker alternative. These techniques help determine which fraction is greater or smaller instantly.
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