1 1/2 ÷ 1/4 show the work

Answer 1

To divide 1 1/2 by 1/4, we need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 is the same as 3/2.
So, the problem becomes:

3/2 ÷ 1/4

To divide fractions, we need to multiply the numerator of the first fraction by the reciprocal of the second fraction.

Reciprocal of 1/4 is 4/1.

So, we have:

3/2 x 4/1

Multiplying the numerators and the denominators, we get:

(3 x 4) / (2 x 1)

This simplifies to:

12/2

Dividing 12 by 2 gives us the final answer:

6

Therefore, 1 1/2 ÷ 1/4 = 6.