Question

Multiply (1 3/8) (5 1/3). Simplify your answer and write it as a mixed number.

• 7 1/3
• 6 4/11
• 7 8/24
• 176/24

Answer 1

let's firstly convert the mixed fractions to improper fractions and then get their product.

`\stackrel{mixed}{1(3)/(8)}\implies \cfrac{1\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{11}{8}} ~\hfill \stackrel{mixed}{5(1)/(3)}\implies \cfrac{5\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{16}{3}} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{11}{8} \right)\left( \cfrac{16}{3} \right)\implies \cfrac{11}{8}\cdot \cfrac{16}{3}\implies \cfrac{16}{8}\cdot \cfrac{11}{3}\implies \cfrac{2}{1}\cdot \cfrac{11}{3}\implies \cfrac{22}{3}\implies 7(1)/(3)`