Solve 750div4*3div314div216

$$750 \div 4 \times 3 \div 314 \div 216$$

Evaluate

$$\frac{125}{15072}\approx 0.008293524$$

Solution Steps

Express \frac{\frac{\frac{750}{4}\times 3}{314}}{216} as a single fraction.

$$\frac{\frac{750}{4}\times 3}{314\times 216}$$

Reduce the fraction \frac{750}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{375}{2}\times 3}{314\times 216}$$

Express \frac{375}{2}\times 3 as a single fraction.

$$\frac{\frac{375\times 3}{2}}{314\times 216}$$

Multiply 375 and 3 to get 1125.

$$\frac{\frac{1125}{2}}{314\times 216}$$

Multiply 314 and 216 to get 67824.

$$\frac{\frac{1125}{2}}{67824}$$

Express \frac{\frac{1125}{2}}{67824} as a single fraction.

$$\frac{1125}{2\times 67824}$$

Multiply 2 and 67824 to get 135648.

$$\frac{1125}{135648}$$

Reduce the fraction \frac{1125}{135648} to lowest terms by extracting and canceling out 9.

$$\frac{125}{15072}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {5} \cdot 3 \cdot 157} = 0.008293524416135881$$