Solve 125/5.75+frac{1{2}}

$$\frac { 125 } { 5.75 + \frac { 1 } { 2 } }$$

Evaluate

$$20$$

Solution Steps

Convert decimal number 5.75 to fraction \frac{575}{100}. Reduce the fraction \frac{575}{100} to lowest terms by extracting and canceling out 25.

$$\frac{125}{\frac{23}{4}+\frac{1}{2}}$$

Least common multiple of 4 and 2 is 4. Convert \frac{23}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{125}{\frac{23}{4}+\frac{2}{4}}$$

Since \frac{23}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{125}{\frac{23+2}{4}}$$

Add 23 and 2 to get 25.

$$\frac{125}{\frac{25}{4}}$$

Divide 125 by \frac{25}{4} by multiplying 125 by the reciprocal of \frac{25}{4}.

$$125\times \frac{4}{25}$$

Express 125\times \frac{4}{25} as a single fraction.

$$\frac{125\times 4}{25}$$

Multiply 125 and 4 to get 500.

$$\frac{500}{25}$$

Divide 500 by 25 to get 20.

$$20$$

Factor

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