Solve 3-5/8/frac{9{8}}+4/9

$$3- \frac{ \frac{ 5 }{ 8 } }{ \frac{ 9 }{ 8 } } + \frac{ 4 }{ 9 }$$

Evaluate

$$\frac{26}{9}\approx 2.888888889$$

Solution Steps

Divide \frac{5}{8} by \frac{9}{8} by multiplying \frac{5}{8} by the reciprocal of \frac{9}{8}.

$$3-\frac{5}{8}\times \frac{8}{9}+\frac{4}{9}$$

Multiply \frac{5}{8} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$3-\frac{5\times 8}{8\times 9}+\frac{4}{9}$$

Cancel out 8 in both numerator and denominator.

$$3-\frac{5}{9}+\frac{4}{9}$$

Convert 3 to fraction \frac{27}{9}.

$$\frac{27}{9}-\frac{5}{9}+\frac{4}{9}$$

Since \frac{27}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-5}{9}+\frac{4}{9}$$

Subtract 5 from 27 to get 22.

$$\frac{22}{9}+\frac{4}{9}$$

Since \frac{22}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{22+4}{9}$$

Add 22 and 4 to get 26.

$$\frac{26}{9}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$