Question

work out the sum of 1/3 1/5 and 1/6 give your answer in its simplest form​

Answer 1

Answer:

7/10

Step-by-step explanation:

$( \frac{1}{3} + \frac{1}{5} + \frac{1}{6} ) \\ = \frac{10 + 6 + 5}{30} \\ = \frac{21}{30} = \frac{7}{10}$

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Answer 2

Given:

sum of 1/3 1/5 and 1/6

According to the question sum of all terms is

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

Now solve it to get the simplest form first make the pair of two term and solve them first

$=(\frac{1}{3} +\frac{1}{5} )+\frac{1}{6}$

$=\frac{5+3}{3\times5}+\frac{1}{6}$

$=\frac{8}{15} +\frac{1}{6}$

$=\frac{8\times6+1\times15}{15\times6}$

$=\frac{48+15}{90}$

$=\frac{63}{90}$

$=\frac{21}{30}$

$=\frac{7}{10}$

Hence the simplest form is 7/10