Question

The ratios ……………… $:7$and $126:42$ are equivalent.

Answer 1

Given that, the ratios ……… $:7$and $126:42$ are equivalent.

Equivalent ratios: Two or more ratios are said to be Equivalent ratios, if they are equal after reducing them into simplest form.

We get equivalent ratios, either by multiplying each term of the ratio by any same number or by dividing each term of the ratio by their common factor.

In the given question, if we divide each term of the ratio $126:42$ by the common factor $6$ then we get $126÷6:42÷6$ i.e. $21:7$.

Therefore, $21:7$ and $126:42$ are equivalent.

Hence, the answer for the given blank is $21$.