What is 2035/1728+1/125+1/216+1/343+1/512 ?

The solution to 2035/1728+1/125+1/216+1/343+1/512 is 78708473/65856000

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simplify 2035/1728+1/125+1/216+1/343+1/512

simplify

\frac{2035}{1728} + \frac{1}{125} + \frac{1}{216} + \frac{1}{343} + \frac{1}{512}

\frac{78708473}{65856000}

Solution steps

\frac{2035}{1728} + \frac{1}{125} + \frac{1}{216} + \frac{1}{343} + \frac{1}{512}

Least Common Multiplier of

1728, 125, 216, 343, 512 : 592704000

Adjust Fractions based on the LCM

= \frac{698005000}{592704000} + \frac{4741632}{592704000} + \frac{2744000}{592704000} + \frac{1728000}{592704000} + \frac{1157625}{592704000}

Apply the fraction rule:

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

= \frac{698005000 + 4741632 + 2744000 + 1728000 + 1157625}{592704000}

698005000 + 4741632 + 2744000 + 1728000 + 1157625 = 708376257

= \frac{708376257}{592704000}

Cancel

\frac{708376257}{592704000} : \frac{78708473}{65856000}

= \frac{78708473}{65856000}

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

7 m + 14 n - 28

103 - 12

\frac{2 - 3 x}{4} > 5

10 - 7 x \geq - 60

What is 2035/1728+1/125+1/216+1/343+1/512 ?
The solution to 2035/1728+1/125+1/216+1/343+1/512 is 78708473/65856000