Solve 2/1/3/2-2/30=1/2/2

$$\frac { 2 } { 1 / 3 / 2 } - \frac { 2 } { 30 } = \frac { 1 } { 2 } / 2$$

Verify

Solution Steps

Divide 2 by \frac{\frac{1}{3}}{2} by multiplying 2 by the reciprocal of \frac{\frac{1}{3}}{2}.

$$\frac{2\times 2}{\frac{1}{3}}-\frac{2}{30}=\frac{\frac{1}{2}}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{\frac{1}{3}}-\frac{2}{30}=\frac{\frac{1}{2}}{2}$$

Divide 4 by \frac{1}{3} by multiplying 4 by the reciprocal of \frac{1}{3}.

$$4\times 3-\frac{2}{30}=\frac{\frac{1}{2}}{2}$$

Multiply 4 and 3 to get 12.

$$12-\frac{2}{30}=\frac{\frac{1}{2}}{2}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$12-\frac{1}{15}=\frac{\frac{1}{2}}{2}$$

Convert 12 to fraction \frac{180}{15}.

$$\frac{180}{15}-\frac{1}{15}=\frac{\frac{1}{2}}{2}$$

Since \frac{180}{15} and \frac{1}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180-1}{15}=\frac{\frac{1}{2}}{2}$$

Subtract 1 from 180 to get 179.

$$\frac{179}{15}=\frac{\frac{1}{2}}{2}$$

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$\frac{179}{15}=\frac{1}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{179}{15}=\frac{1}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{179}{15} and \frac{1}{4} to fractions with denominator 60.

$$\frac{716}{60}=\frac{15}{60}$$

Compare \frac{716}{60} and \frac{15}{60}.

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