Solve 2/5+3/8=5/8

$$\frac { 2 } { 5 } + \frac { 3 } { 8 } = \frac { 5 } { 8 }$$

Verify

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{2}{5} and \frac{3}{8} to fractions with denominator 40.

$$\frac{16}{40}+\frac{15}{40}=\frac{5}{8}$$

Since \frac{16}{40} and \frac{15}{40} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{40}=\frac{5}{8}$$

Add 16 and 15 to get 31.

$$\frac{31}{40}=\frac{5}{8}$$

Least common multiple of 40 and 8 is 40. Convert \frac{31}{40} and \frac{5}{8} to fractions with denominator 40.

$$\frac{31}{40}=\frac{25}{40}$$

Compare \frac{31}{40} and \frac{25}{40}.

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