Question

Simplify (1 /
4 root3) -2/3

Answer 1

Answer:

$\left(\dfrac{1}{4}\sqrt{3}\right)-\dfrac{2}{3}=\dfrac{\sqrt{3}}{4}-\dfrac{2}{3}\quad \left(\mathrm{Decimal:\quad }\:-0.23365\dots \right)$

Step-by-step explanation:

$\left(\dfrac{1}{4}\sqrt{3}\right)-\dfrac{2}{3}$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=\dfrac{1}{4}\sqrt{3}-\dfrac{2}{3}$

$\dfrac{1}{4}\sqrt{3}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \dfrac{b}{c}=\dfrac{a\:\cdot \:b}{c}$

$=\dfrac{1\cdot \sqrt{3}}{4}$

$\mathrm{Multiply:}\:1\cdot \sqrt{3}=\sqrt{3}$

$=\dfrac{\sqrt{3}}{4}$

$=\dfrac{\sqrt{3}}{4}-\dfrac{2}{3}\mathrm{\:or\:}\dfrac{3\sqrt{3}-8}{12}$