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if a:b =2:3 write b as a fraction of a​

Sagot :

MidnightShowers

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

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