Solve 49.7-(-233/4+(18.7-25.25))=

$$49.7-(- 23 \frac { 3 } { 4 } +(18.7-25.25))=$$

Evaluate

$$80$$

Solution Steps

Multiply 23 and 4 to get 92.

$$49.7-\left(-\frac{92+3}{4}+18.7-25.25\right)$$

Add 92 and 3 to get 95.

$$49.7-\left(-\frac{95}{4}+18.7-25.25\right)$$

Convert decimal number 18.7 to fraction \frac{187}{10}.

$$49.7-\left(-\frac{95}{4}+\frac{187}{10}-25.25\right)$$

Least common multiple of 4 and 10 is 20. Convert -\frac{95}{4} and \frac{187}{10} to fractions with denominator 20.

$$49.7-\left(-\frac{475}{20}+\frac{374}{20}-25.25\right)$$

Since -\frac{475}{20} and \frac{374}{20} have the same denominator, add them by adding their numerators.

$$49.7-\left(\frac{-475+374}{20}-25.25\right)$$

Add -475 and 374 to get -101.

$$49.7-\left(-\frac{101}{20}-25.25\right)$$

Convert decimal number 25.25 to fraction \frac{2525}{100}. Reduce the fraction \frac{2525}{100} to lowest terms by extracting and canceling out 25.

$$49.7-\left(-\frac{101}{20}-\frac{101}{4}\right)$$

Least common multiple of 20 and 4 is 20. Convert -\frac{101}{20} and \frac{101}{4} to fractions with denominator 20.

$$49.7-\left(-\frac{101}{20}-\frac{505}{20}\right)$$

Since -\frac{101}{20} and \frac{505}{20} have the same denominator, subtract them by subtracting their numerators.

$$49.7-\frac{-101-505}{20}$$

Subtract 505 from -101 to get -606.

$$49.7-\frac{-606}{20}$$

Reduce the fraction \frac{-606}{20} to lowest terms by extracting and canceling out 2.

$$49.7-\left(-\frac{303}{10}\right)$$

The opposite of -\frac{303}{10} is \frac{303}{10}.

$$49.7+\frac{303}{10}$$

Convert decimal number 49.7 to fraction \frac{497}{10}.

$$\frac{497}{10}+\frac{303}{10}$$

Since \frac{497}{10} and \frac{303}{10} have the same denominator, add them by adding their numerators.

$$\frac{497+303}{10}$$

Add 497 and 303 to get 800.

$$\frac{800}{10}$$

Divide 800 by 10 to get 80.

$$80$$

Factor

$$5\times 2^{4}$$