What is (2/3)/(-1/5+1/2-(-1/4)) ?

The solution to (2/3)/(-1/5+1/2-(-1/4)) is 40/33

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simplify (2/3)/(-1/5+1/2-(-1/4))

simplify

\frac{\frac{2}{3}}{- \frac{1}{5} + \frac{1}{2} - ( - \frac{1}{4} )}

\frac{40}{33}

Decimal Notation

1.21212 \dots

Solution steps

\frac{\frac{2}{3}}{- \frac{1}{5} + \frac{1}{2} - ( - \frac{1}{4} )}

Apply rule:

a - (- b) = a + b

\frac{1}{2} - (- \frac{1}{4}) = \frac{1}{2} + \frac{1}{4}

= \frac{\frac{2}{3}}{- \frac{1}{5} + \frac{1}{2} + \frac{1}{4}}

Apply the fraction rule:

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

= \frac{2}{3 ( - \frac{1}{5} + \frac{1}{2} + \frac{1}{4} )}

Simplify

3 (- \frac{1}{5} + \frac{1}{2} + \frac{1}{4}) : \frac{33}{20}

= \frac{2}{\frac{33}{20}}

Apply the fraction rule:

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

= \frac{2 \cdot 20}{33}

Multiply the numbers:

2 \cdot 20 = 40

= \frac{40}{33}

\frac{5 ^{2} \cdot 6 + 42}{49 - 65}

1 - x - 1

\frac{11}{121}

3 (3 x + 2) - 2 (3 x + 1)

(25 + 37)^{2}

What is (2/3)/(-1/5+1/2-(-1/4)) ?
The solution to (2/3)/(-1/5+1/2-(-1/4)) is 40/33