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Marizza181 [45]
3 years ago
5

Solve for x.2 1/4x = 8 1/2

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

\large\boxed{x=3\dfrac{7}{9}}

Step-by-step explanation:

2\dfrac{1}{4}x=8\dfrac{1}{2}\qquad\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{2\cdot4+1}{4}x=\dfrac{8\cdot2+1}{2}\\\\\dfrac{9}{4}x=\dfrac{17}{2}\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\dfrac{9}{4\!\!\!\!\diagup_1}x=4\!\!\!\!\diagup^2\cdot\dfrac{17}{2\!\!\!\!\diagup_1}\\\\9x=(2)(17)\\\\9x=34\qquad\text{divide both sides by 9}\\\\x=\dfrac{34}{9}\\\\x=3\dfrac{7}{9}

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