Decimals and fractionsTo convert a decimal to a fraction1. Write the whole number part, if necessary.2. Write the digits following the decimal point as the numerator of a

fraction.3. Count the number of decimal places and write 1 followed by a

number of zeros equal to this number of decimal places.4. Reduce if necessary.

Year 7 mathematics: Decimals May 3, 2023

Example 1Convert each of the following decimals to fraction form.Reduce if necessary.a) 4·56 b) 7·057 c) 0·0607

25144

÷4÷4 1000

577 10000607

Year 7 mathematics: Decimals May 3, 2023

Decimals and fractionsTo convert a fraction to a decimals1. Write the whole number part, if necessary.2. Divide the numerator (top number) by the denominator (bottom

number)3. One of two things will happen the decimal will terminate or it will

start to repeat

Year 7 mathematics: Decimals May 3, 2023

Example 2 Convert the following fractions to decimals

Decimals and fractionsYear 7 mathematics: Decimals May 3, 2023

Some that we should just know

Year 7 mathematics: Decimals May 3, 2023

Today’s workEx 7-04Page 223All Qs a, c, e…

Yesterday’s workEx 7-02 All &Ex 7-03 All Qs a, c, e…