Solve 28+28/9-(16/3)/2*28*frac{28{9}}

$$\frac { 28 + \frac { 28 } { 9 } - ( \frac { 16 } { 3 } ) } { 2 \times 28 \times \frac { 28 } { 9 } }$$

Evaluate

$$\frac{29}{196}\approx 0.147959184$$

Solution Steps

Convert 28 to fraction \frac{252}{9}.

$$\frac{\frac{252}{9}+\frac{28}{9}-\frac{16}{3}}{2\times 28\times \frac{28}{9}}$$

Since \frac{252}{9} and \frac{28}{9} have the same denominator, add them by adding their numerators.

$$\frac{\frac{252+28}{9}-\frac{16}{3}}{2\times 28\times \frac{28}{9}}$$

Add 252 and 28 to get 280.

$$\frac{\frac{280}{9}-\frac{16}{3}}{2\times 28\times \frac{28}{9}}$$

Least common multiple of 9 and 3 is 9. Convert \frac{280}{9} and \frac{16}{3} to fractions with denominator 9.

$$\frac{\frac{280}{9}-\frac{48}{9}}{2\times 28\times \frac{28}{9}}$$

Since \frac{280}{9} and \frac{48}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{280-48}{9}}{2\times 28\times \frac{28}{9}}$$

Subtract 48 from 280 to get 232.

$$\frac{\frac{232}{9}}{2\times 28\times \frac{28}{9}}$$

Multiply 2 and 28 to get 56.

$$\frac{\frac{232}{9}}{56\times \frac{28}{9}}$$

Express 56\times \frac{28}{9} as a single fraction.

$$\frac{\frac{232}{9}}{\frac{56\times 28}{9}}$$

Multiply 56 and 28 to get 1568.

$$\frac{\frac{232}{9}}{\frac{1568}{9}}$$

Divide \frac{232}{9} by \frac{1568}{9} by multiplying \frac{232}{9} by the reciprocal of \frac{1568}{9}.

$$\frac{232}{9}\times \frac{9}{1568}$$

Multiply \frac{232}{9} times \frac{9}{1568} by multiplying numerator times numerator and denominator times denominator.

$$\frac{232\times 9}{9\times 1568}$$

Cancel out 9 in both numerator and denominator.

$$\frac{232}{1568}$$

Reduce the fraction \frac{232}{1568} to lowest terms by extracting and canceling out 8.

$$\frac{29}{196}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 7 ^ {2}} = 0.14795918367346939$$