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

The solution to expand (1/2 (-4+2/3))/(1/4+1/3) is -20/7

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expand (1/2 (-4+2/3))/(1/4+1/3)

expand

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

- \frac{20}{7}

Decimal Notation

- 2.85714 \dots

Solution steps

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

Join

\frac{1}{4} + \frac{1}{3} : \frac{7}{12}

= \frac{\frac{1}{2} ( \frac{2}{3} - 4 )}{\frac{7}{12}}

Multiply

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

= \frac{- \frac{5}{3}}{\frac{7}{12}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{5}{3}}{\frac{7}{12}}

Divide fractions:

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

= - \frac{5 \cdot 12}{3 \cdot 7}

Multiply the numbers:

3 \cdot 7 = 21

= - \frac{5 \cdot 12}{21}

Multiply the numbers:

5 \cdot 12 = 60

= - \frac{60}{21}

Cancel the common factor:

3

= - \frac{20}{7}

e^{x} (x + 2 y)

(x - 2) e^{x} + 1

π (e - 1)

e^{2 t} u (2 - t)

\frac{( 2 x ^{3} + x + 1 ) d x}{( x ^{2} + 9 )}

What is expand (1/2 (-4+2/3))/(1/4+1/3) ?
The solution to expand (1/2 (-4+2/3))/(1/4+1/3) is -20/7