Solve 150/360*314*24*24=

$$\frac{ 150 }{ 360 } \times 314 \times 24 \times 24=$$

Evaluate

$$75360$$

Solution Steps

Reduce the fraction \frac{150}{360} to lowest terms by extracting and canceling out 30.

$$\frac{5}{12}\times 314\times 24\times 24$$

Express \frac{5}{12}\times 314 as a single fraction.

$$\frac{5\times 314}{12}\times 24\times 24$$

Multiply 5 and 314 to get 1570.

$$\frac{1570}{12}\times 24\times 24$$

Reduce the fraction \frac{1570}{12} to lowest terms by extracting and canceling out 2.

$$\frac{785}{6}\times 24\times 24$$

Express \frac{785}{6}\times 24 as a single fraction.

$$\frac{785\times 24}{6}\times 24$$

Multiply 785 and 24 to get 18840.

$$\frac{18840}{6}\times 24$$

Divide 18840 by 6 to get 3140.

$$3140\times 24$$

Multiply 3140 and 24 to get 75360.

$$75360$$

Factor

$$2^{5}\times 3\times 5\times 157$$