Solve 8-4/9div4/5=

$$8- \frac{ 4 }{ 9 } \div \frac{ 4 }{ 5 } =$$

Evaluate

$$\frac{67}{9}\approx 7.444444444$$

Solution Steps

Divide \frac{4}{9} by \frac{4}{5} by multiplying \frac{4}{9} by the reciprocal of \frac{4}{5}.

$$8-\frac{4}{9}\times \frac{5}{4}$$

Multiply \frac{4}{9} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$8-\frac{4\times 5}{9\times 4}$$

Cancel out 4 in both numerator and denominator.

$$8-\frac{5}{9}$$

Convert 8 to fraction \frac{72}{9}.

$$\frac{72}{9}-\frac{5}{9}$$

Since \frac{72}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-5}{9}$$

Subtract 5 from 72 to get 67.

$$\frac{67}{9}$$

Factor

$$\frac{67}{3 ^ {2}} = 7\frac{4}{9} = 7.444444444444445$$