Solve 42/17*56/9=

$$4 \frac { 2 } { 17 } \times 5 \frac { 6 } { 9 } =$$

Evaluate

$$\frac{70}{3}\approx 23.333333333$$

Solution Steps

Multiply 4 and 17 to get 68.

$$\frac{68+2}{17}\times \frac{5\times 9+6}{9}$$

Add 68 and 2 to get 70.

$$\frac{70}{17}\times \frac{5\times 9+6}{9}$$

Multiply 5 and 9 to get 45.

$$\frac{70}{17}\times \frac{45+6}{9}$$

Add 45 and 6 to get 51.

$$\frac{70}{17}\times \frac{51}{9}$$

Reduce the fraction \frac{51}{9} to lowest terms by extracting and canceling out 3.

$$\frac{70}{17}\times \frac{17}{3}$$

Multiply \frac{70}{17} times \frac{17}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{70\times 17}{17\times 3}$$

Cancel out 17 in both numerator and denominator.

$$\frac{70}{3}$$

Factor

$$\frac{2 \cdot 5 \cdot 7}{3} = 23\frac{1}{3} = 23.333333333333332$$