Solve 2(1/10)/3-1/6=3(frac{1/10)}{2}-frac{1}{4}=

$$\frac { 2 ( \frac { 1 } { 10 } ) } { 3 } - \frac { 1 } { 6 } = \frac { 3 ( \frac { 1 } { 10 } ) } { 2 } - \frac { 1 } { 4 } =$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 3,6,2,4.

$$4\times 2\times \frac{1}{10}-2=6\times 3\times \frac{1}{10}-3$$

Multiply 4 and 2 to get 8.

$$8\times \frac{1}{10}-2=6\times 3\times \frac{1}{10}-3$$

Multiply 8 and \frac{1}{10} to get \frac{8}{10}.

$$\frac{8}{10}-2=6\times 3\times \frac{1}{10}-3$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-2=6\times 3\times \frac{1}{10}-3$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{4}{5}-\frac{10}{5}=6\times 3\times \frac{1}{10}-3$$

Since \frac{4}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-10}{5}=6\times 3\times \frac{1}{10}-3$$

Subtract 10 from 4 to get -6.

$$-\frac{6}{5}=6\times 3\times \frac{1}{10}-3$$

Multiply 6 and 3 to get 18.

$$-\frac{6}{5}=18\times \frac{1}{10}-3$$

Multiply 18 and \frac{1}{10} to get \frac{18}{10}.

$$-\frac{6}{5}=\frac{18}{10}-3$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{5}=\frac{9}{5}-3$$

Convert 3 to fraction \frac{15}{5}.

$$-\frac{6}{5}=\frac{9}{5}-\frac{15}{5}$$

Since \frac{9}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{6}{5}=\frac{9-15}{5}$$

Subtract 15 from 9 to get -6.

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

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

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