Solve =1/13+1/8=7/16

$$= \frac { 1 } { 13 } + \frac { 1 } { 8 } = \frac { 7 } { 16 }$$

Verify

Solution Steps

Least common multiple of 13 and 8 is 104. Convert \frac{1}{13} and \frac{1}{8} to fractions with denominator 104.

$$\frac{8}{104}+\frac{13}{104}=\frac{7}{16}$$

Since \frac{8}{104} and \frac{13}{104} have the same denominator, add them by adding their numerators.

$$\frac{8+13}{104}=\frac{7}{16}$$

Add 8 and 13 to get 21.

$$\frac{21}{104}=\frac{7}{16}$$

Least common multiple of 104 and 16 is 208. Convert \frac{21}{104} and \frac{7}{16} to fractions with denominator 208.

$$\frac{42}{208}=\frac{91}{208}$$

Compare \frac{42}{208} and \frac{91}{208}.

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