Solve 4-1/7*11/9

$$4 \frac { - 1 } { 7 } \cdot 1 \frac { 1 } { 9 }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28-1}{7}\times \frac{1\times 9+1}{9}$$

Subtract 1 from 28 to get 27.

$$\frac{27}{7}\times \frac{1\times 9+1}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{27}{7}\times \frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{27}{7}\times \frac{10}{9}$$

Multiply \frac{27}{7} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 10}{7\times 9}$$

Do the multiplications in the fraction \frac{27\times 10}{7\times 9}.

$$\frac{270}{63}$$

Reduce the fraction \frac{270}{63} to lowest terms by extracting and canceling out 9.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$