What is 3/4+2/5-1/6+1/12 ?

The solution to 3/4+2/5-1/6+1/12 is 16/15

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simplify 3/4+2/5-1/6+1/12

simplify

\frac{3}{4} + \frac{2}{5} - \frac{1}{6} + \frac{1}{12}

\frac{16}{15}

Decimal Notation

1.06666 \dots

Solution steps

\frac{3}{4} + \frac{2}{5} - \frac{1}{6} + \frac{1}{12}

Least Common Multiplier of

4, 5, 6, 12 : 60

Adjust Fractions based on the LCM

= \frac{45}{60} + \frac{24}{60} - \frac{10}{60} + \frac{5}{60}

Apply the fraction rule:

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

= \frac{45 + 24 - 10 + 5}{60}

Add the numbers:

45 + 24 - 10 + 5 = 64

= \frac{64}{60}

Cancel

\frac{64}{60} : \frac{16}{15}

= \frac{16}{15}

\frac{1}{2} - 16

[(\frac{5}{3})^{- 3} (\frac{5}{3})^{- 2} (\frac{5}{3})^{5}]^{12}

(x^{4} - 2) (x^{4} + 5)

(- 0.2)^{3}

36 + - 64 + 49 - - 36