Solve (2+7/8)div(2-1/9)

$$( 2 + \frac { 7 } { 8 } ) \div ( 2 - \frac { 1 } { 9 } )$$

Evaluate

$$\frac{207}{136}\approx 1.522058824$$

Solution Steps

Convert 2 to fraction \frac{16}{8}.

$$\frac{\frac{16}{8}+\frac{7}{8}}{2-\frac{1}{9}}$$

Since \frac{16}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{16+7}{8}}{2-\frac{1}{9}}$$

Add 16 and 7 to get 23.

$$\frac{\frac{23}{8}}{2-\frac{1}{9}}$$

Convert 2 to fraction \frac{18}{9}.

$$\frac{\frac{23}{8}}{\frac{18}{9}-\frac{1}{9}}$$

Since \frac{18}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{23}{8}}{\frac{18-1}{9}}$$

Subtract 1 from 18 to get 17.

$$\frac{\frac{23}{8}}{\frac{17}{9}}$$

Divide \frac{23}{8} by \frac{17}{9} by multiplying \frac{23}{8} by the reciprocal of \frac{17}{9}.

$$\frac{23}{8}\times \frac{9}{17}$$

Multiply \frac{23}{8} times \frac{9}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 9}{8\times 17}$$

Do the multiplications in the fraction \frac{23\times 9}{8\times 17}.

$$\frac{207}{136}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {3} \cdot 17} = 1\frac{71}{136} = 1.5220588235294117$$