What is 1/9+1/36+1/81+1/144 ?

The solution to 1/9+1/36+1/81+1/144 is 205/1296

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simplify 1/9+1/36+1/81+1/144

simplify

\frac{1}{9} + \frac{1}{36} + \frac{1}{81} + \frac{1}{144}

\frac{205}{1296}

Decimal Notation

0.15817 \dots

Solution steps

\frac{1}{9} + \frac{1}{36} + \frac{1}{81} + \frac{1}{144}

Least Common Multiplier of

9, 36, 81, 144 : 1296

Adjust Fractions based on the LCM

= \frac{144}{1296} + \frac{36}{1296} + \frac{16}{1296} + \frac{9}{1296}

Apply the fraction rule:

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

= \frac{144 + 36 + 16 + 9}{1296}

144 + 36 + 16 + 9 = 205

= \frac{205}{1296}

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