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Answer:
given ,
[tex]\fbox{a:b = 2:3}[/tex]
According to Question ,
we've to write b as a fraction of a.
thus , we know that
[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]
now to represent b as a fraction of a ,
we'll have to consider the ratio as b : a
which means ,
[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]
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hope helpful :D
Answer:
b = [tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
express the ratios in fractional form
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2b = 3a ( divide both sides by 2 )
b = [tex]\frac{3}{2}[/tex] a