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)
[tex]\frac{21}{56} \times \frac{2}{2} =\frac{21\times 2}{56 \times 2} =\frac{42}{112}[/tex]
(2)
[tex]\frac{21}{56} \times \frac{3}{3} =\frac{21\times 3}{56 \times 3} =\frac{63}{168}[/tex]
(3)
[tex]\frac{21}{56} \times \frac{4}{4} =\frac{21\times 4}{56 \times 4} =\frac{84}{224}[/tex]
Therefore, the three equivalent ratios for 21:56 are;
[tex]\frac{42}{112}[/tex] , [tex]\frac{63}{168}[/tex] ,and [tex]\frac{84}{224}[/tex]