Question

If a:b=3:2 and b:c=4:5,find a:c.​

Answer 1

Answer :-

• A : C = 6 : 5.

Given :-

• A : B = 3 : 2.
• B : C = 4 : 5.

To find :-

• A : C.

Step-by-step explanation :-

• Here, the value of A : B and B : C have been given to us. We have to find A : C.

It has been given that :-

$\hookrightarrow \boxed {\sf A : B = 3 : 2}$

$\hookrightarrow\underline{ \boxed{ \sf \dfrac{A}{B} = \dfrac{3}{2}}}$

And,

$\hookrightarrow\boxed{\sf B : C = 4 : 5}$

$\hookrightarrow\underline{ \boxed{ \sf \dfrac{B}{C} = \dfrac{4}{5}}}$

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Let's multiply both the ratios!

$\longmapsto\rm \dfrac{A}{B} \times \dfrac{B}{C}$

Substituting the values of A, B and C,

$\longmapsto\rm\dfrac{3}{2} \times \dfrac{4}{5}$

Reducing the numbers,

$\longmapsto\rm \dfrac{3}{1} \times \dfrac{2}{5}$

Multiplying the remaining numbers,

$\longmapsto \underline{\boxed{\rm\dfrac{6}{5}}}$

• Hence, A : C = 6 : 5.

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Know more :-

What is a proportion?

• When two ratios have equal value, we say that they are in proportion.

What is a continued proportion?

• Three quantities a, b and c (of the same kind and in same units) are said to be in continued proportion if a : b = b : c.

Answer 2

Step-by-step explanation:

LCM of 2 &4=4

a:b=3/2=6/4

b:c=4/5=4/5

a:c=6/5=6;5