Fractions, Decimals & Percentages (Edexcel GCSE Maths: Foundation): Flashcards

To convert from a percentage to a decimal, divide by 100.

E.g. 45 ÷ 100 = 0.45

To convert from a decimal to a percentage, multiply by 100.

E.g. 0.68 × 100 = 68%

To convert from a terminating decimal to a fraction, use place value.

Whatever is the lowest place value (tenths, hundredths, thousandths, etc) is the denominator of the fraction.

The numerator is just the digits of the decimal.

E.g. 0.29, the lowest place value is the 9 in the hundredths place

0.29 =

To convert from a percentage to a fraction, write the percentage over 100 and simplify if required.

E.g. 57% =

To convert from a fraction to a decimal, divide the numerator by the denominator.

E.g. 3 ÷ 8 = 0.375

To convert from a fraction to a percentage, divide the numerator by the denominator and then multiply it by 100.

E.g. 2 ÷ 5 = 0.4, 0.4 × 100 = 40%

True.

One method to order fractions is to write all the fractions with a common denominator so that you can compare the same type of fraction.

To put decimals in order of size, use place value.

Compare the digits in the tenths column, and then the hundredths column and so on,
e.g. 0.6 > 0.57, because 6 is bigger than 5
0.637 > 0.624, because the 6 is the same but 3 is bigger than 2

You can also make each number have the same number of digits after the decimal points by including extra zeros where necessary.

0.6 = 0.60 = 0.600 = ...

To put fractions, decimals and percentages in order of size, convert all of them into decimals and then order the decimals.

0.67 is bigger than 0.659.

The number in the tenths column is the same.
The number in the hundredths column is bigger in 0.67 than in 0.675.

You can also write 0.67 as 0.670 to see this more easily.