Solve (1)1.35+1/4-2/5=-4/20

$$( 1 ) 1.35 + \frac { 1 } { 4 } - \frac { 2 } { 5 } = - \frac { 4 } { 20 }$$

Verify

Solution Steps

Multiply 1 and 1.35 to get 1.35.

$$1.35+\frac{1}{4}-\frac{2}{5}=-\frac{4}{20}$$

Convert decimal number 1.35 to fraction \frac{135}{100}. Reduce the fraction \frac{135}{100} to lowest terms by extracting and canceling out 5.

$$\frac{27}{20}+\frac{1}{4}-\frac{2}{5}=-\frac{4}{20}$$

Least common multiple of 20 and 4 is 20. Convert \frac{27}{20} and \frac{1}{4} to fractions with denominator 20.

$$\frac{27}{20}+\frac{5}{20}-\frac{2}{5}=-\frac{4}{20}$$

Since \frac{27}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{27+5}{20}-\frac{2}{5}=-\frac{4}{20}$$

Add 27 and 5 to get 32.

$$\frac{32}{20}-\frac{2}{5}=-\frac{4}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$\frac{8}{5}-\frac{2}{5}=-\frac{4}{20}$$

Since \frac{8}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-2}{5}=-\frac{4}{20}$$

Subtract 2 from 8 to get 6.

$$\frac{6}{5}=-\frac{4}{20}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{6}{5}=-\frac{1}{5}$$

Compare \frac{6}{5} and -\frac{1}{5}.

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