Question

15. If a:b= 5: 7 and b: c = 15:8, find a:c.​

Answer 1

Answer:

75/56

Step-by-step explanation:

given a:b= 5: 7 and b: c = 15:8

a/b=5/7 and b/c=15/8

multiplying both the conditions

a/b x b/c = 5/7 x 15/8

a/c = 75/56

Answer 2

Given:-

•It is given here a:b = 5:7 and b:c = 15:8.

To Find:-

•Find a:c

Solution:-

we have,

• a :v= 5:7
• b:c = 15:8

As we know,

We always write a:b= 5:7 = 5/7 and b:c = 15/8 so we know

a:c = A/B × B/C

Now put the values,

$\: \: \sf \: \frac{a}{b} \times \frac{b}{c} = \frac{5}{7} \times \frac{15}{8} \\ \\ \: \: \sf \: a \ratio \: c = \frac{75}{56}$

Hence,a:c is 75:56.

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Extra Info...

•Ratio: When we compare two quantities of the same kind (with respect to magnitudes)by division or fraction,we say that we have formed a ratio of the two quantities.

•It is denoted by (:).

•The ratio of two numbers (quantities)is usually expressed in its simplest form. i.e,its H.C.F.is 1.

•Ratio has no unit in itself.