Solve 3/10+2/10+4/10=9/10

$$\frac { 3 } { 10 } + \frac { 2 } { 10 } + \frac { 4 } { 10 } = \frac { 9 } { 10 }$$

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Solution Steps

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{1}{5}+\frac{4}{10}=\frac{9}{10}$$

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{1}{5} to fractions with denominator 10.

$$\frac{3}{10}+\frac{2}{10}+\frac{4}{10}=\frac{9}{10}$$

Since \frac{3}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{10}+\frac{4}{10}=\frac{9}{10}$$

Add 3 and 2 to get 5.

$$\frac{5}{10}+\frac{4}{10}=\frac{9}{10}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}=\frac{9}{10}$$

Add 5 and 4 to get 9.

$$\frac{9}{10}=\frac{9}{10}$$

Compare \frac{9}{10} and \frac{9}{10}.

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