Coaching Centre
Simplifying ratios
Writing ratios, equivalent ratios, simplifying ratios with whole numbers, fractions, decimals and different units.
Simplest form
Like fractions, ratios can be simplified by dividing every part by the HCF: $12 : 18 = 2 : 3$. Order matters: $2 : 3$ is not the same as $3 : 2$.
Simplify $\tfrac{3}{4} : \tfrac{5}{6}$.
Multiply both by $12$: $9 : 10$.
$12 : 18$
$2 : 3$
$40$ cm : $2$ m
$1 : 5$
$0.6 : 0.9$
$2 : 3$
Simplify $\tfrac{3}{4} : \tfrac{5}{6}$. Type it like 3:5.
Multiply by $12$.
Simplify $12 : 18$.
Divide by $6$.
Simplify $40$ cm $: 2$ m.
$40 : 200$.
Simplify $1.5 : 2$.
$15 : 20$.
Simplify $0.6 : 0.9$.
$6 : 9$.
Simplify $20 : 15 : 5$.
Divide all by $5$.
Simplify $15$ min $: 1$ h.
$15 : 60$.
A class has $14$ girls and $10$ boys. Write girls : boys in simplest form.
Divide by $2$.
New numbers every time. Keep going until you get five in a row.