A fraction shows the relationship between an amount and its whole. Note that the denominator will be the total amount.
A ratio shows the relationship between two amounts as parts of a whole. Note that the two parts will add up to the total amount.
Wages are paid to Jack and Oliver. Jack 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).
Answer: 3:5
What fraction of the total amount paid out did Oliver receive?
The total amount paid out was £80.
The fraction earned by Oliver was `frac(50)(80)` which simplifies to `frac(5)(8)`
Answer: `frac(5)(8)`