Question

If a : b = 3:8 and b: c = 7: 12,
find a : c.
​

Answer 1

Answer:

1:4 IS THE ANSWER

Step-by-step explanation:

AS 3:12 IN A:C IS 1:4

Answer 2

We know that

\frac{a}{b}=\frac{3}{4} \rightarrow(i)

b

a

=

4

3

→(i)

\frac{b}{c}=\frac{6}{7} \rightarrow(i i)

c

b

=

7

6

→(ii)

Taking LCM in both the cases of b,

4 and 6 are the two numbers of b.

4=2 \times 24=2×2

6=2 \times 36=2×3

The LCM of b is 2 \times 2 \times 3=122×2×3=12

Then equalise b by multiplying 3 in (i)

\frac{a}{b}=\frac{9}{12}

b

a

=

12

9

Then equalise b by multiplying 2 in (ii)

\frac{b}{c}=\frac{12}{14}

c

b

=

14

12

Then, form a, b, c in the ratio form.

That is a:b:c = 9:12:14a:b:c=9:12:14

Therefore,

The value of a is 9

The value of b is 12

The value of c is 14

By substituting the values of a and b,

Then a : b becomes, 9 : 14

a : b=9 : 14a:b=9:14