Fraction Calculations 2
Multiplying Fractions
In this section we extend the ideas of the Fractions unit, where you multiplied fractions by numbers, to now include multiplying fractions by fractions.
Worked Examples
1
Calculate:
(a)
of £24,
Show me| of £24, | = |
| = £8 |
(b)
of £40,
Show me| of £40 | = |
| = £8 | |
| of £40 | = 2 × 8 |
| = £16 |
| of £40 | = |
| = | |
| = £16 |
(c)
of 35 m.
Show me| of 35 m | = |
| = 5 m | |
| of 35 m | = 3 × 5 |
| = 15 m |
| of 35 m | = |
| = | |
| = 15 m |
2
Calculate × and illustrate this on a diagram.
Show me
| × | = |
| = | |
| = |
Note that 6 of the small squares are shaded twice,
so × = = .
Note that we are using the rule:
× =
3
Calculate:
(a)
×
Show me| × | = |
| = |
(b)
×
Show me(Note: it is usually quicker to cancel down at
2 this stage rather than at the end.)
| × | = 2 × 1 |
| = | |
| = | |
| = |
(c)
×
Show me| × | = 32 + 51 |
| = | |
| = | |
| = |
Exercises
