5 divided by 1/5 + 4/7 divided by 5/8?

Twila Cooper

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Need help for deadline in Math class! 5 divided by 1/5 + 4/7 divided by 5/8? Use of order of operations to simplify
 
Good place to start when dividing fractions - reciprocal and multiply.
 
Hello, Twila Cooper!
5 divided by 1/5 + 4/7 divided by 5/8
Use of order of operations to simplify.
Do you understand the Order Of Operations?. . \(\displaystyle \begin{array}{c}\text{Parentheses} \\ \text{Exponents} \\ \text{Mult'n/Div'n} \\ \text{Add'n/Sub'n} \end{array}\)
We are given: . \(\displaystyle 5 \div \frac{1}{5} + \frac{4}{7} \div \frac{5}{8}\)

Division is performed before addition.
., . So we have: .\(\displaystyle \underbrace{5 \div \frac{1}{5}} + \underbrace{\frac{4}{7} \div \frac{5}{8}} \;=\; \left(5 \div \frac{1}{5}\right) + \left(\frac{4}{7} \div \frac{5}{8}\right)\)
Got it?
 
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