Verified Answer :

There is anĀ infinite number of equivalent ratios for 21:56, but easierĀ ones are:

42:112 (because 21 2 = 42 and 56 2 = 112)
63:168 (because 21 3 = 63 and 56 3 = 168)
84:224 (because 21 4 = 84 and 56 4 = 224)

Answer:

Equivalent ratio states that the two ratios that express the same relationship between numbers.

As, we can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.

To find the 3 equivalent ratio of 21:56 as follows:

by definition we have;

(1)

\(\frac{21}{56} \times \frac{2}{2} =\frac{21\times 2}{56 \times 2} =\frac{42}{112}\)

(2)

\(\frac{21}{56} \times \frac{3}{3} =\frac{21\times 3}{56 \times 3} =\frac{63}{168}\)

(3)

\(\frac{21}{56} \times \frac{4}{4} =\frac{21\times 4}{56 \times 4} =\frac{84}{224}\)

Therefore, the three equivalent ratios for 21:56 are;

\(\frac{42}{112}\) , \(\frac{63}{168}\) ,and \(\frac{84}{224}\)