Solve 42/5*47/12

$$4 \frac { 2 } { 5 } \cdot 4 \frac { 7 } { 12 }$$

Evaluate

$$\frac{121}{6}\approx 20.166666667$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}\times \frac{4\times 12+7}{12}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}\times \frac{4\times 12+7}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{22}{5}\times \frac{48+7}{12}$$

Add 48 and 7 to get 55.

$$\frac{22}{5}\times \frac{55}{12}$$

Multiply \frac{22}{5} times \frac{55}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 55}{5\times 12}$$

Do the multiplications in the fraction \frac{22\times 55}{5\times 12}.

$$\frac{1210}{60}$$

Reduce the fraction \frac{1210}{60} to lowest terms by extracting and canceling out 10.

$$\frac{121}{6}$$

Factor

$$\frac{11 ^ {2}}{2 \cdot 3} = 20\frac{1}{6} = 20.166666666666668$$