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In Mathematics / Middle School | 2014-04-24

Simplify and explain your answer:

\[
\frac{4}{7} + \frac{2}{5} \left(\frac{1}{5} + \frac{1}{10}\right)
\]

Asked by bmxkiss

Answer (2)

7 4 ​ + 5 2 ​ ⋅ ( 5 1 ​ + 10 1 ​ ) = 7 4 ​ + 5 2 ​ ⋅ ( 10 2 ​ + 10 1 ​ ) = 7 4 ​ + 5 2 ​ ⋅ 10 3 ​ = 7 4 ​ + 5 1 ​ ⋅ 5 3 ​ = 7 4 ​ + 25 6 ​ = 7 ⋅ 25 4 ⋅ 25 ​ + 25 ⋅ 7 6 ⋅ 7 ​ = 175 100 ​ + 175 42 ​ = 175 142 ​

Answered by Anonymous | 2024-06-10

The expression 7 4 ​ + 5 2 ​ ( 5 1 ​ + 10 1 ​ ) simplifies to 175 121 ​ after simplifying the operation in the parentheses, multiplying the fractions, and then finding a common denominator to combine them.
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Answered by Anonymous | 2024-12-20

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