Question

Multiply 6 1/4 and 1 4/5. Simplify the answer and write as a mixed number

Answer 1

To multiply mixed numbers, convert them to improper fractions, multiply numerators and denominators, and simplify.

Step-by-step explanation:

Multiplying Mixed Numbers

To multiply mixed numbers, you need to convert them into improper fractions, then multiply the numerators and denominators separately.

Let's convert the mixed numbers to improper fractions:

1. 6 1/4 = (6 * 4 + 1) / 4 = 25/4
2. 1 4/5 = (1 * 5 + 4) / 5 = 9/5

Now, multiply the numerators and denominators: 25/4 * 9/5 = (25 * 9) / (4 * 5) = 225/20

To simplify the fraction, divide both the numerator and denominator by their greatest common factor (GCF), which is 5 in this case. Simplifying, we get 45/4.

As a mixed number, the answer is 11 1/4.

Learn more about Multiplying mixed numbers