Lesson

Do you know how to convert a fraction into a decimal?

Write the fraction \dfrac{47}{100} as a decimal.

Worked Solution

Idea summary

If the denominator of a fraction is a power of 10, write the digits in a place value table to convert it into a decimal.

This video looks at decimals in tenths and hundredths and how to convert them between their fraction and decimal form.

Write the fraction \dfrac{1}{2} as a decimal.

Worked Solution

Idea summary

To convert a fraction to a decimal where the denominator is not a power of 10:

Find a number to multiply or divide the denominator by to make it a power of 10.

Multiply or divide both the numerator and denominator by this number.

Using a place value table or otherwise, write out the number in decimal form.

We extend now to thousandths, converting numbers between fractions and decimal form.

Write the fraction \dfrac{349}{500} as a decimal.

Worked Solution

Idea summary

To convert fractions to decimals, find an equivalent fraction with tenths, hundredths or thousandths. Then you can use place value to write the decimal.