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39 votes
39 votes
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

User Marouane
by
2.7k points

1 Answer

20 votes
20 votes

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)

User Darlin
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3.2k points