Questions: Multiply the following and write the answer in lowest terms. 5 1/7 × 2 1/3

Solution Steps

The mixed numbers \( 5 \frac{1}{7} \) and \( 2 \frac{1}{3} \) are converted to improper fractions.

For \( 5 \frac{1}{7} \): \[ 5 \frac{1}{7} = \frac{5 \times 7 + 1}{7} = \frac{36}{7} \]

For \( 2 \frac{1}{3} \): \[ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3} \]

Next, we multiply the two improper fractions: \[ \frac{36}{7} \times \frac{7}{3} \]

The multiplication of the fractions results in: \[ \frac{36 \times 7}{7 \times 3} = \frac{36}{3} \] Now, simplifying \( \frac{36}{3} \): \[ \frac{36}{3} = 12 \]

The final simplified result of the multiplication \( 5 \frac{1}{7} \times 2 \frac{1}{3} \) is: \[ 12 \]

Final Answer