Question

A:B= 1/4:1/5 and B:C= 1/7:1/6, find A:B:C.

Answer 1

Answer:

$\red { A : B : C } \green { = 15 : 12 : 14 }$

Step-by-step explanation:

$A : B = \frac{1}{4} : \frac{1}{5}$

/* Multiply each term by 20, we get

$A : B = \frac{20}{4} : \frac{20}{5}= 5:4 \:--(1)$

$B : C = \frac{1}{7} : \frac{1}{6}$

/* Multiply each term by 42, we get

$B : C = \frac{42}{7} : \frac{42}{6}= 6 :7 \:--(2)$

$Now , \: multiply \: equation \: (1) \:by \: 3\\and \: equation \: (2) \:by \: 2\: ,we \: get$

$A : B = 15 : 12 \: ---(3)$

$\: \: \: B : C = 12 : 14 \: ---(4)$

Therefore.,

$\red { A : B : C } \green { = 15 : 12 : 14 }$

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Answer 2

Answer:

$| \sqrt[8]{4} |$

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