Question

Simplify the following:
1+[(1/3)^(-3)-(1/2)^(-3) ]÷38

Answer 1

Answer:

1.5

Step-by-step explanation:

Answer 2

Answer:

$1\frac{\left(\frac{1}{3}\right)^{-3}-\left(\frac{1}{2}\right)^{-3}}{38}=\frac{3}{2}\quad \left(\mathrm{Decimal:\quad }\:1.5\right)$

Step-by-step explanation:

$1+\frac{\left(\frac{1}{3}\right)^{-3}-\left(\frac{1}{2}\right)^{-3}}{38}$

$=1+\frac{1}{2}$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:2}{2}$

$=\frac{1\cdot \:2}{2}+\frac{1}{2}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{1\cdot \:2+1}{2}$

$=\frac{3}{2}$