Solve 4/10+1/100=8/15

$$\frac { 4 } { 10 } + \frac { 1 } { 100 } = \frac { 8 } { 15 }$$

Verify

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{1}{100}=\frac{8}{15}$$

Least common multiple of 5 and 100 is 100. Convert \frac{2}{5} and \frac{1}{100} to fractions with denominator 100.

$$\frac{40}{100}+\frac{1}{100}=\frac{8}{15}$$

Since \frac{40}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{40+1}{100}=\frac{8}{15}$$

Add 40 and 1 to get 41.

$$\frac{41}{100}=\frac{8}{15}$$

Least common multiple of 100 and 15 is 300. Convert \frac{41}{100} and \frac{8}{15} to fractions with denominator 300.

$$\frac{123}{300}=\frac{160}{300}$$

Compare \frac{123}{300} and \frac{160}{300}.

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