Solve 4.6/14.810^3

$$\frac{ 4.6 }{ 14.8 } { 10 }^{ 3 }$$

Evaluate

$$\frac{11500}{37}\approx 310.810810811$$

Solution Steps

Expand \frac{4.6}{14.8} by multiplying both numerator and the denominator by 10.

$$\frac{46}{148}\times 10^{3}$$

Reduce the fraction \frac{46}{148} to lowest terms by extracting and canceling out 2.

$$\frac{23}{74}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{23}{74}\times 1000$$

Express \frac{23}{74}\times 1000 as a single fraction.

$$\frac{23\times 1000}{74}$$

Multiply 23 and 1000 to get 23000.

$$\frac{23000}{74}$$

Reduce the fraction \frac{23000}{74} to lowest terms by extracting and canceling out 2.

$$\frac{11500}{37}$$

Factor

$$\frac{23 \cdot 2 ^ {2} \cdot 5 ^ {3}}{37} = 310\frac{30}{37} = 310.81081081081084$$