Solve (5)1877/9*56-877/9*56

$$( 5 ) 187 \frac { 7 } { 9 } \times 56 - 87 \frac { 7 } { 9 } \times 56$$

Evaluate

$$\frac{428960}{9}\approx 47662.222222222$$

Solution Steps

Multiply 187 and 9 to get 1683.

$$5\times \frac{1683+7}{9}\times 56-\frac{87\times 9+7}{9}\times 56$$

Add 1683 and 7 to get 1690.

$$5\times \frac{1690}{9}\times 56-\frac{87\times 9+7}{9}\times 56$$

Express 5\times \frac{1690}{9} as a single fraction.

$$\frac{5\times 1690}{9}\times 56-\frac{87\times 9+7}{9}\times 56$$

Multiply 5 and 1690 to get 8450.

$$\frac{8450}{9}\times 56-\frac{87\times 9+7}{9}\times 56$$

Express \frac{8450}{9}\times 56 as a single fraction.

$$\frac{8450\times 56}{9}-\frac{87\times 9+7}{9}\times 56$$

Multiply 8450 and 56 to get 473200.

$$\frac{473200}{9}-\frac{87\times 9+7}{9}\times 56$$

Multiply 87 and 9 to get 783.

$$\frac{473200}{9}-\frac{783+7}{9}\times 56$$

Add 783 and 7 to get 790.

$$\frac{473200}{9}-\frac{790}{9}\times 56$$

Express \frac{790}{9}\times 56 as a single fraction.

$$\frac{473200}{9}-\frac{790\times 56}{9}$$

Multiply 790 and 56 to get 44240.

$$\frac{473200}{9}-\frac{44240}{9}$$

Since \frac{473200}{9} and \frac{44240}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{473200-44240}{9}$$

Subtract 44240 from 473200 to get 428960.

$$\frac{428960}{9}$$

Factor

$$\frac{2 ^ {5} \cdot 5 \cdot 7 \cdot 383}{3 ^ {2}} = 47662\frac{2}{9} = 47662.22222222222$$