Solve (6/5+4)div80%=

$$( \frac { 6 } { 5 } + 4 ) \div 80 \% =$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Convert 4 to fraction \frac{20}{5}.

$$\frac{\frac{6}{5}+\frac{20}{5}}{\frac{80}{100}}$$

Since \frac{6}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6+20}{5}}{\frac{80}{100}}$$

Add 6 and 20 to get 26.

$$\frac{\frac{26}{5}}{\frac{80}{100}}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{26}{5}}{\frac{4}{5}}$$

Divide \frac{26}{5} by \frac{4}{5} by multiplying \frac{26}{5} by the reciprocal of \frac{4}{5}.

$$\frac{26}{5}\times \frac{5}{4}$$

Multiply \frac{26}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$\frac{26}{4}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$