Decimals  Converting into Fractions
To convert Decimal Fractions into fractions, we need to understand exactly what the decimal fraction actually means. Any number that is placed in the tenths column has a value of that number of tenths.
So 0.1 is 1/10, 0.2 is 2/10 and so on.
Any number that is placed in the hundredths column has a value of that number of hundredths.
So 0.01 is 1/100, 0.02 is 2/100 and so on.
0.13 is one tenth and three hundredths.
0.13 can also be thought of as thirteen hundredths (because 1/10 is the same as 10/100 plus the 3/100 = 13/100)
To convert a decimal to a fraction we need to divide by the number of places that the decimal occupies. If only the tenth column is used, divide by ten,
0.5 is 5 ÷ 10 or 5/10, 0.7 is 7 ÷ 10 or 7/10
If the hundredths column is used, divide by 100,
0.03 is 3 ÷ 100 or 3/100, 0.08 is 8 ÷ 100 or 8/100, 0.25 is 25 ÷ 100 or 25/100.
Next we need to simplify the fraction, by dividing the numerator and denominator
by the Highest Common Factor, HCF.
For, 0.5 ... 5/10 ... HCF is 5, divide the numerator and denominator by 5 to give 1/2.
For, 0.8 ... 8/10 ... HCF is 2, divide the numerator and denominator by 2 to give 4/5.
For, 0.75 ... 75/100 ... HCF is 25, divide the numerator and denominator by 25 to give 3/4.
To convert Fractions to Decimals,
we simply divide the numerator by the denominator.
3/4 is 3 ÷ 4 = 0.75, 1/2 is. 1 ÷ 2 = 0.5, 4/5 is 4 ÷ 5 = 0.8, 13/100 is 13 ÷ 100 = 0.13
