Solve 9/3+1/7+2/8=1/3=

$$\frac { 9 } { 3 } + \frac { 1 } { 7 } + \frac { 2 } { 8 } = \frac { 1 } { 3 } =$$

Verify

Solution Steps

Divide 9 by 3 to get 3.

$$3+\frac{1}{7}+\frac{2}{8}=\frac{1}{3}$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{21}{7}+\frac{1}{7}+\frac{2}{8}=\frac{1}{3}$$

Since \frac{21}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$\frac{21+1}{7}+\frac{2}{8}=\frac{1}{3}$$

Add 21 and 1 to get 22.

$$\frac{22}{7}+\frac{2}{8}=\frac{1}{3}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}+\frac{1}{4}=\frac{1}{3}$$

Least common multiple of 7 and 4 is 28. Convert \frac{22}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{88}{28}+\frac{7}{28}=\frac{1}{3}$$

Since \frac{88}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{88+7}{28}=\frac{1}{3}$$

Add 88 and 7 to get 95.

$$\frac{95}{28}=\frac{1}{3}$$

Least common multiple of 28 and 3 is 84. Convert \frac{95}{28} and \frac{1}{3} to fractions with denominator 84.

$$\frac{285}{84}=\frac{28}{84}$$

Compare \frac{285}{84} and \frac{28}{84}.

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