Introduction to Fractions and Decimals

Hello, Year 5! Today, we’re going to learn how to write fractions as decimals. A fraction shows a part of a whole, while a decimal is another way to represent that part. Let’s break it down step by step.

What is a Fraction?

A fraction has two parts:

  • Numerator: The number on the top. It tells us how many parts we have.
  • Denominator: The number on the bottom. It tells us how many equal parts the whole is divided into.

For example, in the fraction $$\frac{1}{2}$$:

  • The numerator is 1 (we have 1 part)
  • The denominator is 2 (the whole is divided into 2 parts)

What is a Decimal?

A decimal uses a point to show a part of a whole. For example:

  • 0.5 means half of a whole.

Writing Fractions as Decimals

To change a fraction into a decimal, you can divide the numerator by the denominator. Here are some examples:

Example 1: Writing $$\frac{1}{2}$$ as a Decimal

  1. Divide the Numerator by the Denominator:$$1 \div 2 = 0.5$$
  2. So, $$\frac{1}{2}$$ as a decimal is 0.5.

Example 2: Writing $$\frac{3}{4}$$ as a Decimal

  1. Divide the Numerator by the Denominator:$$3 \div 4 = 0.75$$
  2. So, $$\frac{3}{4}$$ as a decimal is 0.75.

Key Rules for Writing Fractions as Decimals

  1. Divide the top number (numerator) by the bottom number (denominator).
  2. If the denominator can be changed to a power of 10 (like 10, 100, or 1000), you can also write the fraction without dividing.
  3. Sometimes, you may get a repeating decimal. For example, $$\frac{1}{3} = 0.333…$$

Tips and Tricks

  • Use a Calculator: If you’re not sure, using a calculator can help you divide the numbers quickly.
  • Practice: The more you practice converting fractions to decimals, the easier it will become!
  • Remember Common Fractions: It helps to remember some common fractions and their decimal equivalents:
    • $$\frac{1}{2} = 0.5$$
    • $$\frac{1}{4} = 0.25$$
    • $$\frac{3}{4} = 0.75$$

Practice Questions

Easy Level Questions

  1. Write $$\frac{1}{10}$$ as a decimal.
  2. Write $$\frac{1}{5}$$ as a decimal.
  3. Write $$\frac{2}{10}$$ as a decimal.
  4. Write $$\frac{3}{10}$$ as a decimal.
  5. Write $$\frac{1}{4}$$ as a decimal.
  6. Write $$\frac{2}{4}$$ as a decimal.
  7. Write $$\frac{1}{2}$$ as a decimal.
  8. Write $$\frac{5}{10}$$ as a decimal.
  9. Write $$\frac{3}{5}$$ as a decimal.
  10. Write $$\frac{1}{8}$$ as a decimal.

Medium Level Questions

  1. Write $$\frac{7}{10}$$ as a decimal.
  2. Write $$\frac{3}{8}$$ as a decimal.
  3. Write $$\frac{4}{5}$$ as a decimal.
  4. Write $$\frac{5}{4}$$ as a decimal.
  5. Write $$\frac{9}{10}$$ as a decimal.
  6. Write $$\frac{2}{3}$$ as a decimal.
  7. Write $$\frac{5}{6}$$ as a decimal.
  8. Write $$\frac{11}{20}$$ as a decimal.
  9. Write $$\frac{7}{8}$$ as a decimal.
  10. Write $$\frac{3}{2}$$ as a decimal.

Hard Level Questions

  1. Write $$\frac{13}{50}$$ as a decimal.
  2. Write $$\frac{27}{100}$$ as a decimal.
  3. Write $$\frac{22}{7}$$ as a decimal.
  4. Write $$\frac{5}{12}$$ as a decimal.
  5. Write $$\frac{19}{25}$$ as a decimal.
  6. Write $$\frac{17}{40}$$ as a decimal.
  7. Write $$\frac{9}{16}$$ as a decimal.
  8. Write $$\frac{31}{100}$$ as a decimal.
  9. Write $$\frac{23}{30}$$ as a decimal.
  10. Write $$\frac{14}{9}$$ as a decimal.

Answers

Easy Level Answers

  1. 0.1
  2. 0.2
  3. 0.2
  4. 0.3
  5. 0.25
  6. 0.5
  7. 0.5
  8. 0.5
  9. 0.6
  10. 0.125

Medium Level Answers

  1. 0.7
  2. 0.375
  3. 0.8
  4. 1.25
  5. 0.9
  6. 0.666…
  7. 0.833…
  8. 0.55
  9. 0.875
  10. 1.5

Hard Level Answers

  1. 0.26
  2. 0.27
  3. 3.14 (approx)
  4. 0.416…
  5. 0.76
  6. 0.425
  7. 0.5625
  8. 0.31
  9. 0.766…
  10. 1.555…

Now you have an understanding of how to write fractions as decimals! Remember to practice, and soon it will be easy. Happy learning!