Solve 66.2-72.6/136.8+291.2{(1/20+frac{1/20)}}=-70.69

$$\frac { 66.2 - 72.6 } { \frac { 136.8 + 291.2 } { ( \frac { 1 } { 20 } + \frac { 1 } { 20 } ) } } = - 70.69$$

Verify

Solution Steps

Subtract 72.6 from 66.2 to get -6.4.

$$\frac{-6.4}{\frac{136.8+291.2}{\frac{1}{20}+\frac{1}{20}}}=-70.69$$

Add 136.8 and 291.2 to get 428.

$$\frac{-6.4}{\frac{428}{\frac{1}{20}+\frac{1}{20}}}=-70.69$$

Since \frac{1}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{-6.4}{\frac{428}{\frac{1+1}{20}}}=-70.69$$

Add 1 and 1 to get 2.

$$\frac{-6.4}{\frac{428}{\frac{2}{20}}}=-70.69$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{-6.4}{\frac{428}{\frac{1}{10}}}=-70.69$$

Divide 428 by \frac{1}{10} by multiplying 428 by the reciprocal of \frac{1}{10}.

$$\frac{-6.4}{428\times 10}=-70.69$$

Multiply 428 and 10 to get 4280.

$$\frac{-6.4}{4280}=-70.69$$

Expand \frac{-6.4}{4280} by multiplying both numerator and the denominator by 10.

$$\frac{-64}{42800}=-70.69$$

Reduce the fraction \frac{-64}{42800} to lowest terms by extracting and canceling out 16.

$$-\frac{4}{2675}=-70.69$$

Convert decimal number -70.69 to fraction -\frac{7069}{100}.

$$-\frac{4}{2675}=-\frac{7069}{100}$$

Least common multiple of 2675 and 100 is 10700. Convert -\frac{4}{2675} and -\frac{7069}{100} to fractions with denominator 10700.

$$-\frac{16}{10700}=-\frac{756383}{10700}$$

Compare -\frac{16}{10700} and -\frac{756383}{10700}.

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