Solve 83/4*204/6

$$8 \frac { 3 } { 4 } \times 20 \frac { 4 } { 6 }$$

Evaluate

$$\frac{1085}{6}\approx 180.833333333$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+3}{4}\times \frac{20\times 6+4}{6}$$

Add 32 and 3 to get 35.

$$\frac{35}{4}\times \frac{20\times 6+4}{6}$$

Multiply 20 and 6 to get 120.

$$\frac{35}{4}\times \frac{120+4}{6}$$

Add 120 and 4 to get 124.

$$\frac{35}{4}\times \frac{124}{6}$$

Reduce the fraction \frac{124}{6} to lowest terms by extracting and canceling out 2.

$$\frac{35}{4}\times \frac{62}{3}$$

Multiply \frac{35}{4} times \frac{62}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 62}{4\times 3}$$

Do the multiplications in the fraction \frac{35\times 62}{4\times 3}.

$$\frac{2170}{12}$$

Reduce the fraction \frac{2170}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1085}{6}$$

Factor

$$\frac{5 \cdot 7 \cdot 31}{2 \cdot 3} = 180\frac{5}{6} = 180.83333333333334$$