Mathematics: Sum of 1/3, 1/5 and 1/6 in simplest form

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Sum of 1/3, 1/5 and 1/6 in simplest form - id13151613262857, darianhaynes

joseaguilaroux4zh

14.06.2021

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$\frac{1}{3} + \frac{1}{5} + \frac{1}{6}$

First you need to find the LCM of the denominators.

LCM of 3, 5, 6 = 30

$\frac{1}{3} \times \frac{10}{10} \\ = \frac{10}{30}$

$\frac{1}{5} \times \frac{6}{6} \\ = \frac{6}{30}$

$\frac{1}{6} \times \frac{5}{5} \\ = \frac{5}{30}$

Now, since the denominators are equal you can easily add them.

$\frac{10}{30} + \frac{6}{30} + \frac{5}{30} \\ = \frac{10 + 6 + 5}{30} \\ = \frac{21}{30} \\ = \frac{7}{10} \\ = 0.7$

✏ Answer = 7/10 in fraction form & 0.7 in decimal form.

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