A fraction shows the relationship between an amount and its whole. A ratio shows the relationship between two amounts as parts of a whole
Yellow and red paints are mixed together in the ratio 3 : 1 to make an orange paint. The yellow paint therefore consists of 3 cans out of 4, or `frac(3)(4)`.
1. Wages are paid to Jack and Oliver. Jack worked for 3 hours and received £30, while Oliver received £50. What was the ratio for the amount paid out between Jack and Oliver? Give the ratio in its simplest form.
The amount paid out was in the ratio 30:50, which simplifies to 3:5 (divide both by 10).
2. What fraction of the work was done by Oliver, in hours? Assume that both Jack and Oliver are paid at the same rate.
The money earned by Oliver was £50. The total amount paid for both is £30 + £50 = £80.
The fraction earned by Oliver was `frac(50)(80)` which simplifies to `frac(5)(8)`