Solve 45.8/310-36.8div250

$$\frac{ 45.8 }{ 310 } -36.8 \div 250$$

Evaluate

$$\frac{21}{38750}\approx 0.000541935$$

Solution Steps

Expand \frac{45.8}{310} by multiplying both numerator and the denominator by 10.

$$\frac{458}{3100}-\frac{36.8}{250}$$

Reduce the fraction \frac{458}{3100} to lowest terms by extracting and canceling out 2.

$$\frac{229}{1550}-\frac{36.8}{250}$$

Expand \frac{36.8}{250} by multiplying both numerator and the denominator by 10.

$$\frac{229}{1550}-\frac{368}{2500}$$

Reduce the fraction \frac{368}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{229}{1550}-\frac{92}{625}$$

Least common multiple of 1550 and 625 is 38750. Convert \frac{229}{1550} and \frac{92}{625} to fractions with denominator 38750.

$$\frac{5725}{38750}-\frac{5704}{38750}$$

Since \frac{5725}{38750} and \frac{5704}{38750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5725-5704}{38750}$$

Subtract 5704 from 5725 to get 21.

$$\frac{21}{38750}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 31 \cdot 5 ^ {4}} = 0.0005419354838709677$$