Solve 314/5*92/3*6

$$31 \frac { 4 } { 5 } \times 9 \frac { 2 } { 3 } \times 6$$

Evaluate

$$\frac{9222}{5}=1844.4$$

Solution Steps

Multiply 31 and 5 to get 155.

$$\frac{155+4}{5}\times \frac{9\times 3+2}{3}\times 6$$

Add 155 and 4 to get 159.

$$\frac{159}{5}\times \frac{9\times 3+2}{3}\times 6$$

Multiply 9 and 3 to get 27.

$$\frac{159}{5}\times \frac{27+2}{3}\times 6$$

Add 27 and 2 to get 29.

$$\frac{159}{5}\times \frac{29}{3}\times 6$$

Multiply \frac{159}{5} times \frac{29}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{159\times 29}{5\times 3}\times 6$$

Do the multiplications in the fraction \frac{159\times 29}{5\times 3}.

$$\frac{4611}{15}\times 6$$

Reduce the fraction \frac{4611}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1537}{5}\times 6$$

Express \frac{1537}{5}\times 6 as a single fraction.

$$\frac{1537\times 6}{5}$$

Multiply 1537 and 6 to get 9222.

$$\frac{9222}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 29 \cdot 53}{5} = 1844\frac{2}{5} = 1844.4$$