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andrey2020 [161]
3 years ago
9

PLEASE EXPLAIN OR I WILL REPORT ALSO I WILL MARK BRAINLIEST

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

\large\boxed{m=10.8=10\dfrac{4}{5}}

Step-by-step explanation:

\dfrac{5}{8}m=6\dfrac{3}{4}\qquad\text{convert the mixed number to an improper fraction}\\\\\dfrac{5m}{8}=\dfrac{6\cdot4+3}{4}\\\\\dfrac{5m}{8}=\dfrac{27}{4}\qquad\text{cross multiply}\\\\(5m)(4)=(8)(27)\\\\20m=216\qquad\text{divide both sides by 20}\\\\\dfrac{20m}{20}=\dfrac{216}{20}\\\\m=10.8

\bold{Check:}\\\\\dfrac{5}{8}\cdot10.8=\dfrac{5\!\!\!\!\diagup^1}{8}\cdot\dfrac{108}{10\!\!\!\!\!\diagup_2}=\dfrac{108:4}{16:4}=\dfrac{27}{4}=\dfrac{24+3}{4}=\dfrac{24}{4}+\dfrac{3}{4}=6\dfrac{3}{4}\\\\\bold{CORRECT}

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