Solve 33/4*11/7

$$3 \frac { 3 } { 4 } \times 1 \frac { 1 } { 7 }$$

Evaluate

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

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}\times \frac{1\times 7+1}{7}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}\times \frac{1\times 7+1}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{15}{4}\times \frac{7+1}{7}$$

Add 7 and 1 to get 8.

$$\frac{15}{4}\times \frac{8}{7}$$

Multiply \frac{15}{4} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 8}{4\times 7}$$

Do the multiplications in the fraction \frac{15\times 8}{4\times 7}.

$$\frac{120}{28}$$

Reduce the fraction \frac{120}{28} to lowest terms by extracting and canceling out 4.

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

Factor

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