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

The solution to 1/2+2/3+3/4+4/5+5/6 is 71/20

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

simplify

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

\frac{71}{20}

Decimal Notation

3.55

Solution steps

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

Least Common Multiplier of

2, 3, 4, 5, 6 : 60

Adjust Fractions based on the LCM

= \frac{30}{60} + \frac{40}{60} + \frac{45}{60} + \frac{48}{60} + \frac{50}{60}

Apply the fraction rule:

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

= \frac{30 + 40 + 45 + 48 + 50}{60}

30 + 40 + 45 + 48 + 50 = 213

= \frac{213}{60}

Cancel

\frac{213}{60} : \frac{71}{20}

= \frac{71}{20}

\frac{5}{8} + \frac{- 9}{40}

4 x - 6 = 18

3 + 2 + \frac{4}{3} + \frac{8}{9}

x^{2} \leq 9

(8 a^{- 3})^{- \frac{2}{3}}