Question

check whether the given ratio are equivalent or not.2:7, 6:21​

Answer 1

Answer:

yes , it is an equivalent ratio

Step-by-step explanation:

2×3 : 7×3 = 6:21

Answer 2

Given,

2:7 and 6:21

To find,

Whether the given pairs of ratios are equivalent.

Solution,

The given ratios 2:7 and 6:21 are equivalent.

We can easily solve this problem by following the given steps.

We know that one ratio is equivalent to another ratio if one ratio is the simplest form (or multiplication) of another one. ( The simplest form is the form that can not be further be divided. For example, 2/7 is the simplest form of 4/14.)

Now, 2:7 or 2/7 can not be divided further but 6:21 or 6/21 can be divided by 3.

Dividing both the numerator and denominator of 6/21 by 3,

6÷3/21÷3 = 2/7 (or 2:7)

Now, the two pairs of the given ratios are the same that is 2:7.

Hence, the ratios 2:7 and 6:21 are equivalent.