What is 2/3-1/6 \div 2/5 ?

The solution to 2/3-1/6 \div 2/5 is 1/4

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2/3-1/6 \div 2/5

\frac{2}{3} - \frac{1}{6} \div \frac{2}{5}

\frac{1}{4}

Solution steps

\frac{2}{3} - \frac{1}{6} \div \frac{2}{5}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{3} - \frac{1}{6} \times \frac{5}{2}

\frac{1}{6} \times \frac{5}{2} = \frac{5}{12}

= \frac{2}{3} - \frac{5}{12}

Least Common Multiplier of

3, 12 : 12

Adjust Fractions based on the LCM

= \frac{8}{12} - \frac{5}{12}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{8 - 5}{12}

Subtract the numbers:

8 - 5 = 3

= \frac{3}{12}

Cancel the common factor:

3

= \frac{1}{4}

x^{- 2} x^{2}

\frac{- 128}{- 32}

\frac{2 x + 8}{x ^{2} - 16}

\frac{24}{6}

2 x^{2} - 11 x + 9