Solve 28/9*28-56*28/9+98

$$\frac{ 28 }{ 9 } \times 28-56 \times \frac{ 28 }{ 9 } +98$$

Evaluate

$$\frac{98}{9}\approx 10.888888889$$

Solution Steps

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

$$\frac{28\times 28}{9}-56\times \frac{28}{9}+98$$

Multiply 28 and 28 to get 784.

$$\frac{784}{9}-56\times \frac{28}{9}+98$$

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

$$\frac{784}{9}-\frac{56\times 28}{9}+98$$

Multiply 56 and 28 to get 1568.

$$\frac{784}{9}-\frac{1568}{9}+98$$

Since \frac{784}{9} and \frac{1568}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{784-1568}{9}+98$$

Subtract 1568 from 784 to get -784.

$$-\frac{784}{9}+98$$

Convert 98 to fraction \frac{882}{9}.

$$-\frac{784}{9}+\frac{882}{9}$$

Since -\frac{784}{9} and \frac{882}{9} have the same denominator, add them by adding their numerators.

$$\frac{-784+882}{9}$$

Add -784 and 882 to get 98.

$$\frac{98}{9}$$

Factor

$$\frac{2 \cdot 7 ^ {2}}{3 ^ {2}} = 10\frac{8}{9} = 10.88888888888889$$