Fractions, decimals & whole numbers

Japanese school year: Elementary 5

What you learn

You will explore how to convert fractions into decimals and whole numbers, as well as rewrite decimals as fractions. This skill is valuable for comparing quantities given in different formats and simplifying complex calculations. A solid grasp of division and decimal place values is recommended.

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Key points

Use this formula to convert a fraction to a decimal or whole number. The fraction $\frac{a}{b}$ represents the division $a \div b$ , so dividing numerator $a$ by denominator $b$ gives the value.

\frac{a}{b} = a \div b

This formula shows how to express any integer as a fraction. Any integer $a$ can be written as fraction $\frac{a}{1}$ with denominator $1$ , fitting directly into fraction calculations.

a = \frac{a}{1}

Use this procedure to convert decimals to fractions. Express numbers with one decimal place over $10$ and two decimal places over $100$ , then simplify to lowest terms.

This shows how fractions express values that cannot be divided evenly. A division like $1 \div 3$ cannot be written as a finite decimal, but fraction $\frac{1}{3}$ represents its exact value.

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Practice 1Coming soon