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

The solution to 1/2-1/3+1/4-1/5+1/6 is 23/60

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

simplify

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

\frac{23}{60}

Decimal Notation

0.38333 \dots

Solution steps

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

Least Common Multiplier of

2, 3, 4, 5, 6 : 60

Adjust Fractions based on the LCM

= \frac{30}{60} - \frac{20}{60} + \frac{15}{60} - \frac{12}{60} + \frac{10}{60}

Apply the fraction rule:

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

= \frac{30 - 20 + 15 - 12 + 10}{60}

Add the numbers:

30 - 20 + 15 - 12 + 10 = 23

= \frac{23}{60}

1 + t + 9 + 10 t

e (6) = - 18

- 28 = 7 (- 2 + 2 x)

x^{2} + 8 x + 16 = 25

- 16 t^{2} + 1502 t + 6.5 = 0