Solve 11/9*62/5

$$1 \frac { 1 } { 9 } \times 6 \frac { 2 } { 5 }$$

Evaluate

$$\frac{64}{9}\approx 7.111111111$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9}\times \frac{6\times 5+2}{5}$$

Add 9 and 1 to get 10.

$$\frac{10}{9}\times \frac{6\times 5+2}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{10}{9}\times \frac{30+2}{5}$$

Add 30 and 2 to get 32.

$$\frac{10}{9}\times \frac{32}{5}$$

Multiply \frac{10}{9} times \frac{32}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 32}{9\times 5}$$

Do the multiplications in the fraction \frac{10\times 32}{9\times 5}.

$$\frac{320}{45}$$

Reduce the fraction \frac{320}{45} to lowest terms by extracting and canceling out 5.

$$\frac{64}{9}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111$$