Working with Fractions — Practice

Q1. Aaron's pet tortoise can walk only 1/4 km in 1 hour. How far can it walk in 3 hours?

• A. 1/12 km
• B. 3/4 km
• C. 4/3 km
• D. 3 km

Q2. 3 × 1/4 is the same as which repeated addition?

• A. 1/4 + 1/4
• B. 1/4 + 1/4 + 1/4
• C. 1/4 + 1/4 + 1/4 + 1/4
• D. 3 + 1/4

Q3. A farmer had 5 grandchildren. She gave 2/3 acre of land to each. How much land in all did she give?

• A. 10/3 acre
• B. 7/3 acre
• C. 2/15 acre
• D. 5/3 acre

Q4. Aaron walks 3 km in 1 hour. the distance he can walk in 1/5 hour equals

• A. 5 × 3 km
• B. 3 km divided into 5 equal parts
• C. 3 km plus 1/5 km
• D. 3 km minus 1/5 km

Q5. Using the rule the value of 1/5 × 3 is

• A. 1/15
• B. 3/5
• C. 5/3
• D. 15

Q6. Aaron walks 3 km in 1 hour. How far can he walk in 2/5 hour?

• A. 5/6 km
• B. 2/15 km
• C. 6/5 km
• D. 3/5 km

Q7. The 'Discussion' describes multiplying 2/5 × 3 in two steps. The correct order of the two steps is

• A. Add 2 and 5, then multiply by 3
• B. Divide 3 by the denominator 5, then multiply the result by the numerator 2
• C. Multiply 3 by the numerator 2, then add the denominator 5
• D. Divide 3 by the numerator 2, then multiply by the denominator 5

Q8. 1 hour of internet time costs ₹8. The cost of 1 and 1/4 hours of internet time is

• A. ₹8
• B. ₹9
• C. ₹10
• D. ₹12

Q9. Example 2 shows that before multiplying 1 and 1/4 by 8, the mixed fraction is first converted to

• A. 5/4
• B. 4/5
• C. 1/4
• D. 1/5

Q10. Find 7 × 3/5 and write the answer as a mixed fraction. The answer is

• A. 4 and 1/5
• B. 3 and 2/5
• C. 21/5
• D. 10/12

Q11. Find 4 × 1/3 and express the answer as a mixed fraction. The answer is

• A. 5/3
• B. 1 and 1/3
• C. 1 and 2/3
• D. 4/3

Q12. The tortoise walks 1/4 km in 1 hour. The distance it walks in 1/2 hour is given by

• A. 1/4 + 1/2 km
• B. 1/2 × 1/4 km
• C. 1/4 ÷ 1/2 km
• D. 1/2 − 1/4 km

Q13. Using the unit-square area model what is 1/2 × 1/4?

• A. 2/4
• B. 1/6
• C. 1/8
• D. 1/2

Q14. The general formula a/b × c/d = (a×c)/(b×d) was first stated in this general form by

• A. Aryabhata in the Aryabhatiya
• B. Brahmagupta in the Brahma-sphuta-siddhanta in 628 CE
• C. Bhaskara II in the Lilavati
• D. Mahavira in the Ganita-sara-sangraha

Q15. Using Brahmagupta's rule for two fractional units, 1/18 × 1/12 equals

• A. 1/216
• B. 2/30
• C. 1/30
• D. 1/6