Question

The ratio of a to b is 4 to 5 and the ratio to a to c is 2 to 7 , what is the ratio of c to b ?

Answer 1

\[\frac{a}{b} = \frac{4}{5}\]
\[\frac{a}{c} = \frac{2}{7}\]

Just divide them..

Answer 2

Please show me

Answer 3

\[\huge \frac{\frac{a}{b}}{\frac{a}{c}} = \frac{\frac{4}{5}}{\frac{2}{7}} \implies \frac{a \times c}{b \times a} = \frac{4 \times 2}{5 \times 7}\]

Answer 4

No check it once again..

Answer 5

Thanks I got it 8/35

Answer 6

On left hand side a and a gets cancel..
So you are left with:

\[\frac{c}{b} = \frac{4 \times 2}{5 \times 7}\]

Answer 7

Yes you are right @Tanzina