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3 years ago

1/(2 2/3)=1/2x+(3 1/4x)

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

$x = \frac{32}{45}$

Step-by-step explanation:

Given

$1 * (2\frac{2}{3}) = \frac{1}{2}x + 3\frac{1}{4}x$

Required

Solve for x

Express all fractions as improper

$1 * \frac{8}{3} = \frac{1}{2}x + \frac{13}{4}x$

Take LCM

$1 * \frac{8}{3} = \frac{2 + 13}{4}x$

$\frac{8}{3} = \frac{15}{4}x$

Cross Multiply

$15x * 3 = 4 * 8$

$45x = 32$

Make x the subject

$x = \frac{32}{45}$

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