What is 1/2-2/3+3/4 ?

The solution to 1/2-2/3+3/4 is 7/12

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simplify 1/2-2/3+3/4

simplify

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

\frac{7}{12}

Decimal

0.58333 \dots

Solution steps

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

Least Common Multiplier of

2, 3, 4 : 12

Adjust Fractions based on the LCM

= \frac{6}{12} - \frac{8}{12} + \frac{9}{12}

Apply the fraction rule:

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

= \frac{6 - 8 + 9}{12}

Add the numbers:

6 - 8 + 9 = 7

= \frac{7}{12}

\frac{2}{3} \times \frac{5}{4}

3 (8 x - 5)

\frac{8}{48}

\frac{4}{x ^{2} + x} - \frac{3}{x ^{2} - 1}

\frac{1}{4} 6 - \frac{1}{4} 2