Solve 12.5/5,75+frac{1{2}}

$$\frac { 12.5 } { 5,75 + \frac { 1 } { 2 } }$$

Evaluate

$$2$$

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.

$$\frac{12.5}{\frac{23}{4}+\frac{1}{2}}$$

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

$$\frac{12.5}{\frac{23}{4}+\frac{2}{4}}$$

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

$$\frac{12.5}{\frac{23+2}{4}}$$

Add 23 and 2 to get 25.

$$\frac{12.5}{\frac{25}{4}}$$

Divide 12.5 by \frac{25}{4} by multiplying 12.5 by the reciprocal of \frac{25}{4}.

$$12.5\times \frac{4}{25}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}\times \frac{4}{25}$$

Multiply \frac{25}{2} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 4}{2\times 25}$$

Cancel out 25 in both numerator and denominator.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$