Solve 12*24/7*1/2

$$12 \times \frac { 24 } { 7 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{144}{7}\approx 20.571428571$$

Solution Steps

Express 12\times \frac{24}{7} as a single fraction.

$$\frac{12\times 24}{7}\times \frac{1}{2}$$

Multiply 12 and 24 to get 288.

$$\frac{288}{7}\times \frac{1}{2}$$

Multiply \frac{288}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{288\times 1}{7\times 2}$$

Do the multiplications in the fraction \frac{288\times 1}{7\times 2}.

$$\frac{288}{14}$$

Reduce the fraction \frac{288}{14} to lowest terms by extracting and canceling out 2.

$$\frac{144}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{7} = 20\frac{4}{7} = 20.571428571428573$$