Introduction

Hello Year 5! Today, we’re going to learn how to convert decimals to fractions. This is an important skill that will help you in many areas of maths. Don’t worry if it sounds tricky; we will take it step by step!

What is a Decimal?

A decimal is a way to show parts of a whole number. For example, 0.5 means half, or 5 tenths.

What is a Fraction?

A fraction shows how many parts of a whole we have. For example, the fraction \frac{1}{2}

means we have one part out of two equal parts.

Converting Decimals to Fractions

Step 1: Write Down the Decimal

Let’s say we have the decimal 0.75. We will start by writing it down.

Step 2: Identify the Place Value

The next step is to look at where the decimal ends.

  • 0.75 has two digits after the decimal point. This means it is in the hundredths place.

Step 3: Write as a Fraction

Now, we can write it as a fraction.

  • Since 0.75 is in the hundredths place, we can write it as \frac{75}{100}
    .

Step 4: Simplify the Fraction

Finally, we need to simplify the fraction if possible.

  • The greatest common divisor (GCD) of 75 and 100 is 25.
  • So, we divide both the top and bottom by 25:

\frac{75 \div 25}{100 \div 25} = \frac{3}{4}

So, 0.75 as a fraction is \frac{3}{4}

.

Key Rules

  1. Count the Decimal Places: The number of digits after the decimal tells you the denominator.
  2. Write as a Fraction: Use the digits as the numerator and the place value as the denominator.
  3. Simplify: Always simplify the fraction if possible.

Tips and Tricks

  • Remember: 0.1 = \frac{1}{10}
    , 0.01 = \frac{1}{100}
    , and so on.
  • Use a calculator to help find the GCD if you are unsure how to simplify.
  • Practice makes perfect! The more you do it, the easier it gets.

Questions

Easy Level Questions

  1. Convert 0.2 to a fraction.
  2. Convert 0.5 to a fraction.
  3. Convert 0.1 to a fraction.
  4. Convert 0.4 to a fraction.
  5. Convert 0.3 to a fraction.
  6. Convert 0.25 to a fraction.
  7. Convert 0.75 to a fraction.
  8. Convert 0.6 to a fraction.
  9. Convert 0.8 to a fraction.
  10. Convert 0.9 to a fraction.
  11. Convert 0.12 to a fraction.
  12. Convert 0.15 to a fraction.
  13. Convert 0.7 to a fraction.
  14. Convert 0.05 to a fraction.
  15. Convert 0.02 to a fraction.
  16. Convert 0.03 to a fraction.
  17. Convert 0.11 to a fraction.
  18. Convert 0.18 to a fraction.
  19. Convert 0.4 to a fraction.
  20. Convert 0.9 to a fraction.

Medium Level Questions

  1. Convert 0.36 to a fraction.
  2. Convert 0.45 to a fraction.
  3. Convert 0.82 to a fraction.
  4. Convert 0.67 to a fraction.
  5. Convert 0.55 to a fraction.
  6. Convert 0.95 to a fraction.
  7. Convert 0.88 to a fraction.
  8. Convert 0.33 to a fraction.
  9. Convert 0.73 to a fraction.
  10. Convert 0.24 to a fraction.
  11. Convert 0.28 to a fraction.
  12. Convert 0.91 to a fraction.
  13. Convert 0.76 to a fraction.
  14. Convert 0.61 to a fraction.
  15. Convert 0.80 to a fraction.
  16. Convert 0.59 to a fraction.
  17. Convert 0.49 to a fraction.
  18. Convert 0.78 to a fraction.
  19. Convert 0.42 to a fraction.
  20. Convert 0.39 to a fraction.

Hard Level Questions

  1. Convert 0.125 to a fraction.
  2. Convert 0.375 to a fraction.
  3. Convert 0.666 to a fraction.
  4. Convert 0.833 to a fraction.
  5. Convert 0.875 to a fraction.
  6. Convert 0.625 to a fraction.
  7. Convert 0.555 to a fraction.
  8. Convert 0.333 to a fraction.
  9. Convert 0.142 to a fraction.
  10. Convert 0.6667 to a fraction.
  11. Convert 0.2857 to a fraction.
  12. Convert 0.444 to a fraction.
  13. Convert 0.3333 to a fraction.
  14. Convert 0.222 to a fraction.
  15. Convert 0.1250 to a fraction.
  16. Convert 0.714 to a fraction.
  17. Convert 0.857 to a fraction.
  18. Convert 0.961 to a fraction.
  19. Convert 0.937 to a fraction.
  20. Convert 0.5555 to a fraction.

Answers

Easy Level Answers

  1. \frac{2}{10} = \frac{1}{5}
  2. \frac{5}{10} = \frac{1}{2}
  3. \frac{1}{10}
  4. \frac{4}{10} = \frac{2}{5}
  5. \frac{3}{10}
  6. \frac{25}{100} = \frac{1}{4}
  7. \frac{75}{100} = \frac{3}{4}
  8. \frac{6}{10} = \frac{3}{5}
  9. \frac{8}{10} = \frac{4}{5}
  10. \frac{9}{10}
  11. \frac{12}{100} = \frac{3}{25}
  12. \frac{15}{100} = \frac{3}{20}
  13. \frac{7}{10}
  14. \frac{5}{100} = \frac{1}{20}
  15. \frac{2}{100} = \frac{1}{50}
  16. \frac{3}{100}
  17. \frac{11}{100}
  18. \frac{18}{100} = \frac{9}{50}
  19. \frac{4}{10} = \frac{2}{5}
  20. \frac{9}{10}

Medium Level Answers

  1. \frac{36}{100} = \frac{9}{25}
  2. \frac{45}{100} = \frac{9}{20}
  3. \frac{82}{100} = \frac{41}{50}
  4. \frac{67}{100}
  5. \frac{55}{100} = \frac{11}{20}
  6. \frac{95}{100} = \frac{19}{20}
  7. \frac{88}{100} = \frac{22}{25}
  8. \frac{33}{100}
  9. \frac{73}{100}
  10. \frac{24}{100} = \frac{6}{25}
  11. \frac{28}{100} = \frac{7}{25}
  12. \frac{91}{100}
  13. \frac{76}{100} = \frac{19}{25}
  14. \frac{61}{100}
  15. \frac{80}{100} = \frac{4}{5}
  16. \frac{59}{100}
  17. \frac{49}{100}
  18. \frac{78}{100} = \frac{39}{50}
  19. \frac{42}{100} = \frac{21}{50}
  20. \frac{39}{100}

Hard Level Answers

  1. \frac{125}{1000} = \frac{1}{8}
  2. \frac{375}{1000} = \frac{3}{8}
  3. \frac{666}{1000} = \frac{2}{3}
  4. \frac{833}{1000} = \frac{5}{6}
  5. \frac{875}{1000} = \frac{7}{8}
  6. \frac{625}{1000} = \frac{5}{8}
  7. \frac{555}{1000} = \frac{111}{200}
  8. \frac{333}{1000} = \frac{1}{3}
  9. \frac{142}{1000}
  10. \frac{6667}{10000} = \frac{2}{3}
  11. \frac{2857}{10000}
  12. \frac{444}{1000} = \frac{111}{250}
  13. \frac{3333}{10000} = \frac{1}{3}
  14. \frac{222}{1000} = \frac{111}{500}
  15. \frac{1250}{10000} = \frac{1}{8}
  16. \frac{714}{1000}
  17. \frac{857}{1000}
  18. \frac{961}{1000}
  19. \frac{937}{1000}
  20. \frac{5555}{10000}

Now you have a fun way to practice converting decimals to fractions! Keep practicing, and you’ll get the hang of it!