Solve -7/10/10-7/4=3-7/10-frac{2-frac{17}{10}}{5}

$$\frac{ - \frac{ 7 }{ 10 } }{ 10 } - \frac{ 7 }{ 4 } = 3- \frac{ 7 }{ 10 } - \frac{ 2- \frac{ 17 }{ 10 } }{ 5 }$$

Verify

Solution Steps

Multiply both sides of the equation by 20, the least common multiple of 10,4,5.

$$2\left(-\frac{7}{10}\right)-35=60-14-4\left(2-\frac{17}{10}\right)$$

Express 2\left(-\frac{7}{10}\right) as a single fraction.

$$\frac{2\left(-7\right)}{10}-35=60-14-4\left(2-\frac{17}{10}\right)$$

Multiply 2 and -7 to get -14.

$$\frac{-14}{10}-35=60-14-4\left(2-\frac{17}{10}\right)$$

Reduce the fraction \frac{-14}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{5}-35=60-14-4\left(2-\frac{17}{10}\right)$$

Convert 35 to fraction \frac{175}{5}.

$$-\frac{7}{5}-\frac{175}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

Since -\frac{7}{5} and \frac{175}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-175}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

Subtract 175 from -7 to get -182.

$$-\frac{182}{5}=60-14-4\left(2-\frac{17}{10}\right)$$

Subtract 14 from 60 to get 46.

$$-\frac{182}{5}=46-4\left(2-\frac{17}{10}\right)$$

Convert 2 to fraction \frac{20}{10}.

$$-\frac{182}{5}=46-4\left(\frac{20}{10}-\frac{17}{10}\right)$$

Since \frac{20}{10} and \frac{17}{10} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{182}{5}=46-4\times \frac{20-17}{10}$$

Subtract 17 from 20 to get 3.

$$-\frac{182}{5}=46-4\times \frac{3}{10}$$

Express -4\times \frac{3}{10} as a single fraction.

$$-\frac{182}{5}=46+\frac{-4\times 3}{10}$$

Multiply -4 and 3 to get -12.

$$-\frac{182}{5}=46+\frac{-12}{10}$$

Reduce the fraction \frac{-12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{182}{5}=46-\frac{6}{5}$$

Convert 46 to fraction \frac{230}{5}.

$$-\frac{182}{5}=\frac{230}{5}-\frac{6}{5}$$

Since \frac{230}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{182}{5}=\frac{230-6}{5}$$

Subtract 6 from 230 to get 224.

$$-\frac{182}{5}=\frac{224}{5}$$

Compare -\frac{182}{5} and \frac{224}{5}.

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