Question

Find 5 3/4 divided by 1 1/2 in its simplest form

Answer 1

To divide mixed numbers, convert them to improper fractions, multiply, and simplify the result.

Step-by-step explanation:

To divide mixed numbers, we need to convert them both to improper fractions.

1. Let's convert 5 3/4 to an improper fraction:

5 3/4 = (4 * 5 + 3) / 4 = 23/4

1. Now, let's convert 1 1/2 to an improper fraction:

1 1/2 = (2 * 1 + 1) / 2 = 3/2

1. Finally, we can divide the two fractions:

(23/4) ÷ (3/2) = (23/4) * (2/3) = 46/12 = 3 10/12

However, we should simplify the final answer.

1. To simplify, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case:

46/12 = (2 * 23)/(2 * 6) = 23/6 = 3 5/6

The simplified answer is 3 5/6.

Learn more about Dividing mixed numbers