What is \(1\frac{1}{3} \times 1\frac{1}{7}\) ?
\(1 \frac{11}{21}\)
Explanation
t step to solving this problem is to convert operands with whole numbers to their fractional equivalent:
\(1\frac{1}{3} = 1 + \frac{1}{3} = \frac{{1 \times 3}}{3} + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}\)
\(11\frac{1}{7} = 1 + \frac{1}{7} = \frac{{1 \times 7}}{7} + \frac{1}{7} = \frac{7}{7} + \frac{1}{7} = \frac{8}{7}\)
When multiplying fractions simply multiply the numerators (top numbers) and the denominators (bottom numbers) to get the result:
\(\frac{4}{3} \times \frac{8}{7} = \frac{{32}}{{21}} \text { which is } 1 \frac{11}{21}\)