The compound ratio of 3:7 and 28:33 is ____
Answers
Given:
\mathbf{\dfrac{a}{b}=\dfrac{5}{7}\ and\ \dfrac{c}{d}=\dfrac{2}{9}}
b
a
=
7
5
and
d
c
=
9
2
To Find:
\mathbf{\textrm{Find compound ratio of }\dfrac{a}{b}\ and\ \dfrac{c}{d}}Find compound ratio of
b
a
and
d
c
Solution:
Compound ratio of two fraction is obtained by multiplication of two fraction:
\mathbf{\textrm{ Compound ratio }=\dfrac{a}{b}\times \dfrac{c}{d}} Compound ratio =
b
a
×
d
c
\mathbf{\textrm{ Compound ratio }=\dfrac{5}{7}\times \dfrac{2}{9}} Compound ratio =
7
5
×
9
2
\mathbf{\textrm{ Compound ratio }=\dfrac{5\times 2}{7\times 9}} Compound ratio =
7×9
5×2
\mathbf{\textrm{ Compound ratio }=\dfrac{10}{63}} Compound ratio =
63
10
So the compound ratio of 5:7 and 2:9 is 10:63
Answer:
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