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Verizon [17]
2 years ago
5

109 2/3 divided by 1/2​

Mathematics
1 answer:
Alexandra [31]2 years ago
3 0

Answer:

\large\boxed{219\dfrac{1}{3}}

Step-by-step explanation:

109\dfrac{2}{3}:\dfrac{1}{2}\\\\\text{Divide by a fraction is the same operation as multiply by its reciprocal}\\\\109\dfrac{2}{3}:\dfrac{1}{2}=109\dfrac{2}{3}\cdot\dfrac{2}{1}=109\dfrac{2}{3}\cdot2=\left(109+\dfrac{2}{3}\right)\cdot2\\\\\text{use distributive property}\\\\(109)(2)+\left(\dfrac{2}{3}\right)(2)=218+\dfrac{4}{3}=218+1\dfrac{1}{3}=219\dfrac{1}{3}

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