About Fractions & Decimals — Class 6 IB

Convert between fractions and decimals and perform operations in real-world contexts. This topic is part of the IB Class 6 mathematics syllabus (chapter: Unit 3). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Fractions & Decimals — solved examples for Class 6 IB

Practice questions on Fractions & Decimals

1. Q1.easy

   What is $\frac{1}{2} + \frac{1}{4}$?

   1. A)$\frac{2}{6}$
   2. B)$\frac{3}{4}$
   3. C)$\frac{1}{3}$
   4. D)$\frac{2}{4}$
   Show answer

   Answer: $\frac{3}{4}$

   Hint: Find a common denominator first. The LCD of 2 and 4 is 4.

2. Q2.easy

   Which fraction is equivalent to $\frac{2}{5}$?

   1. A)$\frac{4}{10}$
   2. B)$\frac{3}{10}$
   3. C)$\frac{4}{5}$
   4. D)$\frac{2}{10}$
   Show answer

   Answer: $\frac{4}{10}$

   Hint: Multiply both numerator and denominator by the same number.

3. Q3.easy

   Convert 0.6 to a fraction in simplest form.

   1. A)$\frac{6}{10}$
   2. B)$\frac{3}{5}$
   3. C)$\frac{6}{100}$
   4. D)$\frac{2}{3}$
   Show answer

   Answer: $\frac{3}{5}$

   Hint: 0.6 = 6/10. Now simplify by dividing both by their GCD.

4. Q4.medium

   What is $\frac{3}{4} \times \frac{2}{5}$?

   1. A)$\frac{6}{20}$
   2. B)$\frac{5}{9}$
   3. C)$\frac{3}{10}$
   4. D)$\frac{6}{9}$
   Show answer

   Answer: $\frac{3}{10}$

   Hint: Multiply numerators together and denominators together, then simplify.

5. Q5.medium

   A recipe needs $\frac{3}{4}$ cup of sugar. If you are making 2 batches, how much sugar do you need?

   1. A)$\frac{3}{2}$ cups
   2. B)$1\frac{1}{4}$ cups
   3. C)$1\frac{1}{2}$ cups
   4. D)$\frac{3}{8}$ cup
   Show answer

   Answer: $1\frac{1}{2}$ cups

   Hint: Multiply the fraction by 2.

6. Q6.medium

   Calculate 4.56 × 0.3.

   1. A)1.368
   2. B)13.68
   3. C)0.1368
   4. D)1.568
   Show answer

   Answer: 1.368

   Hint: Multiply 456 × 3 = 1368, then place the decimal (3 decimal places total).

7. Q7.hard

   A tank is $\frac{2}{5}$ full. After adding 30 litres, it becomes $\frac{4}{5}$ full. What is the tank's total capacity?

   1. A)60 litres
   2. B)75 litres
   3. C)100 litres
   4. D)150 litres
   Show answer

   Answer: 75 litres

   Hint: The 30 litres represent the difference between 4/5 and 2/5 of the capacity.

8. Q8.hard

   Evaluate: $2.4 \times 3.5 \div 0.6$.

   1. A)14
   2. B)12
   3. C)16
   4. D)10
   Show answer

   Answer: 14

   Hint: Work left to right: first multiply 2.4 × 3.5, then divide by 0.6.

9. Q9.hard

   Which is the correct ordering from least to greatest? $\frac{5}{8}$, 0.6, $\frac{7}{12}$

   1. A)$\frac{7}{12}$, 0.6, $\frac{5}{8}$
   2. B)0.6, $\frac{5}{8}$, $\frac{7}{12}$
   3. C)$\frac{5}{8}$, $\frac{7}{12}$, 0.6
   4. D)0.6, $\frac{7}{12}$, $\frac{5}{8}$
   Show answer

   Answer: $\frac{7}{12}$, 0.6, $\frac{5}{8}$

   Hint: Convert all to decimals: 5/8 = 0.625, 7/12 ≈ 0.583.

These are 9 of the 60 questions available for Fractions & Decimals. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.