Question

the compound ratio of 5:7 and 2:9 is

Answer 1

given,

given ratios=5:7and2:9

copound ratio of a:b and c:d=ac:bd

compound ratio of 5:7 and 2:9 = 5(2):7(9)

=10:63

the answer is 10:63.

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Answer 2

Given:

$\mathbf{\dfrac{a}{b}=\dfrac{5}{7}\ and\ \dfrac{c}{d}=\dfrac{2}{9}}$

To Find:

$\mathbf{\textrm{Find compound ratio of }\dfrac{a}{b}\ and\ \dfrac{c}{d}}$

Solution:

Compound ratio of two fraction is obtained by multiplication of two fraction:

$\mathbf{\textrm{ Compound ratio }=\dfrac{a}{b}\times \dfrac{c}{d}}$

$\mathbf{\textrm{ Compound ratio }=\dfrac{5}{7}\times \dfrac{2}{9}}$

$\mathbf{\textrm{ Compound ratio }=\dfrac{5\times 2}{7\times 9}}$

 

$\mathbf{\textrm{ Compound ratio }=\dfrac{10}{63}}$

So the compound ratio of 5:7 and 2:9 is 10:63