Solve 1/51/1230*40/12

$$\frac{ 1 }{ 5 } \frac{ 1 }{ 12 } \frac{ 30 \times 40 }{ 12 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply \frac{1}{5} times \frac{1}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{5\times 12}\times \frac{30\times 40}{12}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 12}.

$$\frac{1}{60}\times \frac{30\times 40}{12}$$

Multiply 30 and 40 to get 1200.

$$\frac{1}{60}\times \frac{1200}{12}$$

Divide 1200 by 12 to get 100.

$$\frac{1}{60}\times 100$$

Multiply \frac{1}{60} and 100 to get \frac{100}{60}.

$$\frac{100}{60}$$

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$