Compute: 1 1/2 ÷ 1/4. Simplify your answer.

Answer 1

To divide fractions, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.

In this case, we have 1 1/2 ÷ 1/4.

First, we need to convert the mixed number 1 1/2 to an improper fraction. To do this, we multiply the whole number (1) by the denominator of the fraction (2) and add the numerator (1).

1 * 2 + 1 = 2 + 1 = 3

So, 1 1/2 is equivalent to 3/2 as an improper fraction.

Next, we multiply this fraction by the reciprocal of 1/4.

Reciprocal of 1/4 is 4/1.

So, we have (3/2) * (4/1).

To multiply fractions, we simply multiply the numerators together and the denominators together.

(3/2) * (4/1) = (3 * 4) / (2 * 1) = 12/2 = 6

Therefore, 1 1/2 ÷ 1/4 simplifies to 6.