Question

Find the ratio a:b, if it is given that ...
7a=3b

Answer 1

a:b = 3/7

Explanation:

we need to find the ratio a:b which is the same as a/b.

7a=3b

Devide left and right of the = sign by b gives

7a/b = 3 * b/b

7a/b = 3 * 1

7a/b = 3

Multiply left and right of the = sign by 1/7 gives

1/7 * 7a/b = 1/7 * 3

7/7 * a/b = 3/7

1 * a/b = 3/7

a/b = 3/7

Since a/b is the same as a:b, we now have the answer.

a:b = 3/7

Answer 2

a:b

3:7

Explanation:

a:b also means a/b

Taking the equation

7a = 3b

Dividing each side by b

7a/b = 3b/b

7 a/b = 3

Divide each side by 7

a/b = 3/7

The ratio is 3/7

a:b

3:7