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

1/(2 2/3)=1/2x+(3 1/4x) - id12231231412008188, lazavionadams81

jiskd

17.04.2021

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

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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eve2055

17.03.2022

14 1/4 cups

Step-by-step explanation:

3 1/2=14/4

(14/4) / (1/4) = 14

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