Find the simplest value of (32)-5/2÷(125)-2/3?

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Answer 1 · 2018-07-01T14:39:33

$\frac{4697}{150} \approx 31.3$ $4697/150~~31.3$

Given: $32 - \frac{5}{2} \div 125 - \frac{2}{3}$ $32-5/2-:125-2/3$

Divide first.

$= 32 - \frac{5}{2} \cdot \frac{1}{125} - \frac{2}{3}$ $=32-5/2*1/125-2/3$

$= 32 - \frac{5}{250} - \frac{2}{3}$ $=32-5/250-2/3$

$= 32 - \frac{1}{50} - \frac{2}{3}$ $=32-1/50-2/3$

Use the lowest common multiple of all the denominators.

$1 = 1$ $1=1$

$50 = 2 \cdot 5^{2}$ $50=2*5^2$

$3 = 3 \cdot 1$ $3=3*1$

$:. \ "LCM"=50*3*1=150$

$=4800/150-3/150-100/150$

$=(4800-3-100)/150$

$=4697/150$

$~~31.3$