Question

Determine whether the following ratios are equivalent ratio 2:3 and 10:15

Answer 1

Answer:

RHS=10/15

=2/3=LHS

HENCE PROVED.

Answer 2

In context of question asked,

We have to determine that whether the given ratio 2:3 and 10:15 are equivalent or not.

As we know that,

Equivalent ratio means if the values of both the ratio are same.

Ratio of only similar quantities are determined.

Ratio is the simplest form of number.

So, converting 10:15 in its simplest form.

As,

$10 = 2\times 5\\15 = 3\times 5$

Thus we will divide 10 and 15 both by 5.

Thus we will get it as,

$\frac{10}{5} :\frac{15}{3} = 2:3$

Hence, both the ratio 2:3 and 10:15 are equivalent.