Solve 4/10+15/100=55/100

$$\frac{ 4 }{ 10 } + \frac{ 15 }{ 100 } = \frac{ 55 }{ 100 }$$

Verify

Solution Steps

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

$$\frac{2}{5}+\frac{15}{100}=\frac{55}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{2}{5}+\frac{3}{20}=\frac{55}{100}$$

Least common multiple of 5 and 20 is 20. Convert \frac{2}{5} and \frac{3}{20} to fractions with denominator 20.

$$\frac{8}{20}+\frac{3}{20}=\frac{55}{100}$$

Since \frac{8}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{20}=\frac{55}{100}$$

Add 8 and 3 to get 11.

$$\frac{11}{20}=\frac{55}{100}$$

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{20}=\frac{11}{20}$$

Compare \frac{11}{20} and \frac{11}{20}.

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