Questions: 5 4/5 × 5 1/3 =

Solution Steps

To multiply mixed numbers, first convert them to improper fractions. Multiply the numerators to get the new numerator and the denominators to get the new denominator. Simplify the resulting fraction if possible, and convert it back to a mixed number if needed.

To multiply the mixed numbers \(5 \frac{4}{5}\) and \(5 \frac{1}{3}\), we first convert them to improper fractions.

For \(5 \frac{4}{5}\): \[ 5 \frac{4}{5} = \frac{5 \times 5 + 4}{5} = \frac{29}{5} \]

For \(5 \frac{1}{3}\): \[ 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{16}{3} \]

Next, we multiply the two improper fractions: \[ \frac{29}{5} \times \frac{16}{3} = \frac{29 \times 16}{5 \times 3} = \frac{464}{15} \]

Now, we simplify \(\frac{464}{15}\) and convert it back to a mixed number. Divide the numerator by the denominator: \[ 464 \div 15 = 30 \quad \text{remainder} \quad 14 \]

Thus, \(\frac{464}{15}\) can be expressed as the mixed number: \[ 30 \frac{14}{15} \]

Final Answer