Converting Fractions 1

3

4means that you have 3 out of 4 available pieces of something.

This is called a FRACTION, but we can also show this amount in other ways.

FRACTIONS can be converted to DECIMALS

Converting Fractions 1 - DECIMALS

DECIMALS aren’t as accurate as fractions, but are sometimes easier to understand.

1

25of £1 isn’t as easy to understand as £0.04

(or 4p)

Decimals are easier to put in order than fractions, especially with a calculator.

Converting Fractions 1 - DECIMALS

To convert any FRACTION to a DECIMAL with a calculator we just type:

NUMERATOR ÷ DENOMINATOR =(top number) (bottom number)

1

25becomes 1 ÷ 25 = 0.04

Converting Fractions 1 - DECIMALS

To convert any FRACTION to a DECIMAL without a calculator we have to do a DIVISION calculation:

1 ÷ 25 25 ) 1

Converting Fractions 1 - DECIMALS

1 shared into 25 parts can’t go, so just add a 0 after the DECIMAL POINT

1 ÷ 25 25 ) 1 . 0

0 .

pretend that the decimal point isn’t there, and read this as 10 instead of 1.0

Converting Fractions 1 - DECIMALS

10 shared into 25 parts can’t go, so we add another 0

1 ÷ 25 25 ) 1 . 0 0

0 . 0

Converting Fractions 1 - DECIMALS

100 shared into 25 parts goes exactly with no remainder

1 ÷ 25 25 ) 1 . 0 0

0 . 0 4

Converting Fractions 1 - DECIMALS

sometimes we have a remainder.

1 ÷ 3 3 ) 1

0

Converting Fractions 1 - DECIMALS

10 ÷ 3 is 3 with 1 remaining

1 ÷ 3 3 ) 1 . 0

0 . 3

1

Converting Fractions 1 - DECIMALS

10 ÷ 3 is 3 with 1 remaining

1 ÷ 3 3 ) 1 . 0 0

0 . 3 3

1 1

Converting Fractions 1 - DECIMALS

10 ÷ 3 is 3 with 1 remaining

1 ÷ 3 3 ) 1 . 0 0 0

0 . 3 3 3

1 1 1

once we can see a pattern we can see what the next numbers will be.

Converting Fractions 1 - DECIMALS

10 ÷ 3 is 3 with 1 remaining

1 ÷ 3 = 0.33333333333333……

this can be written as 0 . 3 read as 0 . 3 RECURRING

The dot means repeat this number.

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