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Fractions - AQAUsing fractions

Fractions are used commonly in everyday life, eg sale prices at 1/3 off, or recipes using 1/2 a tablespoon of an ingredient. Knowing how to use fractions is an important mathematical skill.

Part of MathsNumber

Using fractions

Fractions show parts of whole numbers, for example, the fraction \(\frac{1}{4}\) shows a number that is 1 part out of 4, or a quarter.

Rectangle split into 4 evenly sized rectangles. 1 shaded, showing a quarter

\(\frac{1}{4}\) is the same as \(1 \div 4\).

Fractions are one way of showing numbers that are parts of a whole. Other ways are and . You can also convert between fractions, decimals and percentages. Like whole numbers and decimals, fractions can be either positive or negative. For example, \(3 \frac{1}{5}\) or \(- \frac{1}{4}\).

Equivalent fractions

Equivalent fractions are fractions that are worth exactly the same even though they are written differently. \(\frac{1}{4}\) is worth the same as \(\frac{2}{8}\) because \(\frac{2}{8}\) will to \(\frac{1}{4}\) by dividing the numerator and denominator by 2.

Fraction wall, showing 1/4 = 2/8

Working out equivalent fractions

Equivalent fractions are made by multiplying or dividing the and of the fraction by the same number.

For example, to find fractions that are equivalent to \(\frac{1}{3}\), multiply the numerator and denominator by the same number.

1/3 x 2 = 2/6

Multiplying or dividing both parts of a fraction by the same number will always create equivalent fractions. There are an amount of equivalent fractions that can be found because there are an infinite amount of numbers to multiply by.

Question

\(\frac{3}{8}\:\) is equivalent to \(\frac{?}{24}\). Find the missing number.