Solve 1/12*22/7*14*14

$$\frac { 1 } { 12 } \times \frac { 22 } { 7 } \times 14 \times 14$$

Evaluate

$$\frac{154}{3}\approx 51.333333333$$

Solution Steps

Multiply \frac{1}{12} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{12\times 7}\times 14\times 14$$

Do the multiplications in the fraction \frac{1\times 22}{12\times 7}.

$$\frac{22}{84}\times 14\times 14$$

Reduce the fraction \frac{22}{84} to lowest terms by extracting and canceling out 2.

$$\frac{11}{42}\times 14\times 14$$

Express \frac{11}{42}\times 14 as a single fraction.

$$\frac{11\times 14}{42}\times 14$$

Multiply 11 and 14 to get 154.

$$\frac{154}{42}\times 14$$

Reduce the fraction \frac{154}{42} to lowest terms by extracting and canceling out 14.

$$\frac{11}{3}\times 14$$

Express \frac{11}{3}\times 14 as a single fraction.

$$\frac{11\times 14}{3}$$

Multiply 11 and 14 to get 154.

$$\frac{154}{3}$$

Factor

$$\frac{2 \cdot 7 \cdot 11}{3} = 51\frac{1}{3} = 51.333333333333336$$