Multiply 4/5

Question

times 13/8
. Write the answer in simplest form and convert it to a mixed number.(1 point)

Answer 1

To multiply the fractions \( \frac{4}{5} \) and \( \frac{13}{8} \), follow these steps:

1. Multiply the numerators: \[ 4 \times 13 = 52 \]

2. Multiply the denominators: \[ 5 \times 8 = 40 \]

Now, put these together: \[ \frac{52}{40} \]

Next, simplify the fraction. Both 52 and 40 can be divided by their greatest common divisor (GCD), which is 4: \[ \frac{52 \div 4}{40 \div 4} = \frac{13}{10} \]

Now, convert \( \frac{13}{10} \) to a mixed number. Divide the numerator by the denominator: \[ 13 \div 10 = 1 \quad \text{(whole number)} \]

The remainder is: \[ 13 - 10 = 3 \]

So, the mixed number is: \[ 1 \frac{3}{10} \]

The final answer in simplest form is \( \frac{13}{10} \), and as a mixed number, it is: \[ 1 \frac{3}{10} \]