What is 1/2+2/3+3/4+4/5+5/6+6/7 ?

The solution to 1/2+2/3+3/4+4/5+5/6+6/7 is 617/140

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simplify 1/2+2/3+3/4+4/5+5/6+6/7

simplify

\frac{1}{2} + \frac{2}{3} + \frac{3}{4} + \frac{4}{5} + \frac{5}{6} + \frac{6}{7}

\frac{617}{140}

Decimal Notation

4.40714 \dots

Solution steps

\frac{1}{2} + \frac{2}{3} + \frac{3}{4} + \frac{4}{5} + \frac{5}{6} + \frac{6}{7}

Least Common Multiplier of

2, 3, 4, 5, 6, 7 : 420

Adjust Fractions based on the LCM

= \frac{210}{420} + \frac{280}{420} + \frac{315}{420} + \frac{336}{420} + \frac{350}{420} + \frac{360}{420}

Apply the fraction rule:

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

= \frac{210 + 280 + 315 + 336 + 350 + 360}{420}

210 + 280 + 315 + 336 + 350 + 360 = 1851

= \frac{1851}{420}

Cancel

\frac{1851}{420} : \frac{617}{140}

= \frac{617}{140}

697

x^{2} + 15 x y + 26 y^{2}

4 x - 3 > 1

5 x^{2} + 13 x - 6

- 1 - 6 r - r = 6

What is 1/2+2/3+3/4+4/5+5/6+6/7 ?
The solution to 1/2+2/3+3/4+4/5+5/6+6/7 is 617/140