Solve 4/10+1/100=8/5

$$\frac { 4 } { 10 } + \frac { 1 } { 100 } = \frac { 8 } { 5 }$$

Verify

Solution Steps

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

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

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

$$\frac{40}{100}+\frac{1}{100}=\frac{8}{5}$$

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

$$\frac{40+1}{100}=\frac{8}{5}$$

Add 40 and 1 to get 41.

$$\frac{41}{100}=\frac{8}{5}$$

Least common multiple of 100 and 5 is 100. Convert \frac{41}{100} and \frac{8}{5} to fractions with denominator 100.

$$\frac{41}{100}=\frac{160}{100}$$

Compare \frac{41}{100} and \frac{160}{100}.

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