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Sagot :
Answer:
25/332
Explanation:
We first write
[tex]\frac{5}{8}\div(8+\frac{3}{10})[/tex]Let us convert the fraction on the right to an improper fraction
[tex]8+\frac{3}{10}=\frac{83}{10}[/tex]and the division becomes
[tex]\frac{5}{8}\div\frac{83}{10}[/tex]taking the reciprocal of the fraction on the right turns the above into multiplication
[tex]\frac{5}{8}\times\frac{10}{83}[/tex]which simplifies to
[tex]\frac{5\cdot10}{8\cdot83}[/tex][tex]=\frac{50}{664}[/tex][tex]=\frac{50\div2}{664\div2}[/tex][tex]=\frac{25}{332}[/tex]which is our answer!
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