Year 5 Maths: Convert Fractions to Decimals

Introduction

Hello, Year 5! Today, we’re going to learn how to convert fractions into decimals. This is an important skill that will help you in your maths journey. Don’t worry, it’s easier than it sounds!

What is a Fraction?

A fraction represents a part of a whole. For example, if you have a pizza cut into 4 equal slices and you eat 1 slice, you have eaten the fraction $$\frac{1}{4}$$ of the pizza.

• The top number (numerator) shows how many parts you have.
• The bottom number (denominator) shows how many equal parts there are in total.

What is a Decimal?

A decimal is another way to show numbers that are not whole. For example, 0.25 is a decimal that represents the same amount as $$\frac{1}{4}$$ .

How to Convert Fractions to Decimals

Here’s a simple way to convert fractions to decimals:

1. Divide the Numerator by the Denominator:
   • This means you take the top number (numerator) and divide it by the bottom number (denominator).
   For example, to convert $$\frac{1}{4}$$ to a decimal:
   • Divide 1 by 4:
   $$1 \div 4 = 0.25$$
2. Use Long Division if Needed:
   • If the division doesn’t come out easily, you can use long division to find the answer.
3. Remember Some Common Fractions:
   • Here are a few fractions and their decimal equivalents:
     • $$\frac{1}{2} = 0.5$$
     • $$\frac{1}{4} = 0.25$$
     • $$\frac{3}{4} = 0.75$$
     • $$\frac{1}{5} = 0.2$$

Tips and Tricks

• Practice with Simple Fractions: Start with fractions like $$\frac{1}{2}$$ , $$\frac{1}{4}$$ , and $$\frac{1}{5}$$ .
• Use a Calculator: If you’re unsure, a calculator can help you check your answers.
• Make a Conversion Chart: Write down fractions and their decimal equivalents for quick reference.

Questions

Easy Level Questions

1. Convert $$\frac{1}{2}$$ to a decimal.
2. Convert $$\frac{1}{4}$$ to a decimal.
3. Convert $$\frac{3}{4}$$ to a decimal.
4. Convert $$\frac{1}{5}$$ to a decimal.
5. Convert $$\frac{2}{5}$$ to a decimal.
6. Convert $$\frac{1}{10}$$ to a decimal.
7. Convert $$\frac{3}{10}$$ to a decimal.
8. Convert $$\frac{4}{10}$$ to a decimal.
9. Convert $$\frac{1}{8}$$ to a decimal.
10. Convert $$\frac{5}{10}$$ to a decimal.
11. Convert $$\frac{7}{10}$$ to a decimal.
12. Convert $$\frac{2}{4}$$ to a decimal.
13. Convert $$\frac{3}{5}$$ to a decimal.
14. Convert $$\frac{6}{10}$$ to a decimal.
15. Convert $$\frac{9}{10}$$ to a decimal.
16. Convert $$\frac{1}{3}$$ to a decimal (approximate).
17. Convert $$\frac{2}{3}$$ to a decimal (approximate).
18. Convert $$\frac{1}{6}$$ to a decimal (approximate).
19. Convert $$\frac{5}{6}$$ to a decimal (approximate).
20. Convert $$\frac{1}{9}$$ to a decimal (approximate).

Medium Level Questions

1. Convert $$\frac{7}{8}$$ to a decimal.
2. Convert $$\frac{5}{4}$$ to a decimal.
3. Convert $$\frac{11}{20}$$ to a decimal.
4. Convert $$\frac{3}{8}$$ to a decimal.
5. Convert $$\frac{9}{5}$$ to a decimal.
6. Convert $$\frac{15}{100}$$ to a decimal.
7. Convert $$\frac{24}{100}$$ to a decimal.
8. Convert $$\frac{12}{25}$$ to a decimal.
9. Convert $$\frac{7}{10}$$ to a decimal.
10. Convert $$\frac{13}{50}$$ to a decimal.
11. Convert $$\frac{17}{20}$$ to a decimal.
12. Convert $$\frac{2}{3}$$ to a decimal (exact).
13. Convert $$\frac{5}{8}$$ to a decimal.
14. Convert $$\frac{3}{11}$$ to a decimal (approximate).
15. Convert $$\frac{7}{12}$$ to a decimal (approximate).
16. Convert $$\frac{9}{16}$$ to a decimal.
17. Convert $$\frac{4}{7}$$ to a decimal (approximate).
18. Convert $$\frac{8}{9}$$ to a decimal (approximate).
19. Convert $$\frac{19}{20}$$ to a decimal.
20. Convert $$\frac{14}{25}$$ to a decimal.

Hard Level Questions

1. Convert $$\frac{13}{16}$$ to a decimal.
2. Convert $$\frac{19}{30}$$ to a decimal.
3. Convert $$\frac{23}{40}$$ to a decimal.
4. Convert $$\frac{15}{28}$$ to a decimal (approximate).
5. Convert $$\frac{59}{100}$$ to a decimal.
6. Convert $$\frac{21}{50}$$ to a decimal.
7. Convert $$\frac{31}{80}$$ to a decimal.
8. Convert $$\frac{17}{24}$$ to a decimal (approximate).
9. Convert $$\frac{5}{12}$$ to a decimal (approximate).
10. Convert $$\frac{3}{7}$$ to a decimal (approximate).
11. Convert $$\frac{9}{14}$$ to a decimal (approximate).
12. Convert $$\frac{29}{50}$$ to a decimal.
13. Convert $$\frac{11}{15}$$ to a decimal.
14. Convert $$\frac{33}{100}$$ to a decimal.
15. Convert $$\frac{4}{13}$$ to a decimal (approximate).
16. Convert $$\frac{5}{18}$$ to a decimal (approximate).
17. Convert $$\frac{17}{30}$$ to a decimal.
18. Convert $$\frac{25}{60}$$ to a decimal.
19. Convert $$\frac{7}{18}$$ to a decimal (approximate).
20. Convert $$\frac{9}{22}$$ to a decimal (approximate).

Answers and Explanations

Easy Level Answers

1. 0.5
2. 0.25
3. 0.75
4. 0.2
5. 0.4
6. 0.1
7. 0.3
8. 0.4
9. 0.125
10. 0.5
11. 0.7
12. 0.5
13. 0.6
14. 0.6
15. 0.9
16. 0.333 (approx.)
17. 0.666 (approx.)
18. 0.166 (approx.)
19. 0.833 (approx.)
20. 0.111 (approx.)

Medium Level Answers

1. 0.875
2. 1.25
3. 0.55
4. 0.375
5. 1.8
6. 0.15
7. 0.24
8. 0.48
9. 0.7
10. 0.26
11. 0.85
12. 0.666 (exact)
13. 0.625
14. 0.272 (approx.)
15. 0.583 (approx.)
16. 0.5625
17. 0.85
18. 0.583 (approx.)
19. 0.95
20. 0.56

Hard Level Answers

1. 0.8125
2. 0.633 (approx.)
3. 0.575
4. 0.536 (approx.)
5. 0.59
6. 0.42
7. 0.3875
8. 0.708 (approx.)
9. 0.417 (approx.)
10. 0.643 (approx.)
11. 0.643 (approx.)
12. 0.33
13. 0.733
14. 0.33
15. 0.307 (approx.)
16. 0.277 (approx.)
17. 0.567
18. 0.417
19. 0.388 (approx.)
20. 0.409 (approx.)

Now that you know how to convert fractions to decimals, practice with these questions, and you’ll become a pro in no time! Happy learning!