Question

Determine the quotient of 3 over 7 divided by 2 over 3 .

6 over 21
1 over 2
9 over 14
1 and 5 over 9

Answer 1

9 over 14

Explanation:

Lets put this into math:

3 over 7 = 3/7

2 over 3 = 2/3

3 over 7 divided by 2 over 3: (3/7)/(2/3)

Remember that you can multiply by the reciprocal of the denominator, so:

(3/7) * (3/2)

The easiest way to solve this is to go step by step in the numerator.

So first, 3 * 3 = 9

This gives:

9/7 * 1/2

Now divide the numberator by the 2 (multiply by 1/2)

9 * 1/2 = 4.5

This gives 4.5/7

This not one of the options, but by scaling it up you see that 4.5/7 = 9/14