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If a:b =1/2 :1/3 and b:c = 3:4 find a:c

Sagot :

HIGHSUPERB

Step-by-step explanation:

I've written the answer and steps to solve the question a piece of paper which is in the attached photo. Hope this helps!

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Answer:

a : c = 9 : 8

Step-by-step explanation:

Expressing the ratios in fractional form , then

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex]

Given a : b = [tex]\frac{1}{2}[/tex] : [tex]\frac{1}{3}[/tex] ( multiply both parts by 6 to clear the fractions )

a : b = 3 : 2 and b : c = 3 : 4 , then

[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{3(3)}{2(4)}[/tex] = [tex]\frac{9}{8}[/tex]

That is a : c = 9 : 8

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