What is 1/2+1/4+1/8+1/16+1/32 ?

The solution to 1/2+1/4+1/8+1/16+1/32 is 31/32

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simplify 1/2+1/4+1/8+1/16+1/32

simplify

\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32}

\frac{31}{32}

Decimal Notation

0.96875

Solution steps

\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32}

Least Common Multiplier of

2, 4, 8, 16, 32 : 32

Adjust Fractions based on the LCM

= \frac{16}{32} + \frac{8}{32} + \frac{4}{32} + \frac{2}{32} + \frac{1}{32}

Apply the fraction rule:

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

= \frac{16 + 8 + 4 + 2 + 1}{32}

Add the numbers:

16 + 8 + 4 + 2 + 1 = 31

= \frac{31}{32}

- 3 x^{2} + 5 x + 2

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- \frac{9}{6} + (- \frac{3}{5})

(x^{2} + x + 3) (x^{2} + x + 4) - 12