Solve 210*50*25div23-46/4

$$210 \times 50 \times 25 \div 23- \frac{ 46 }{ 4 }$$

Evaluate

$$\frac{524471}{46}\approx 11401.543478261$$

Solution Steps

Multiply 210 and 50 to get 10500.

$$\frac{10500\times 25}{23}-\frac{46}{4}$$

Multiply 10500 and 25 to get 262500.

$$\frac{262500}{23}-\frac{46}{4}$$

Reduce the fraction \frac{46}{4} to lowest terms by extracting and canceling out 2.

$$\frac{262500}{23}-\frac{23}{2}$$

Least common multiple of 23 and 2 is 46. Convert \frac{262500}{23} and \frac{23}{2} to fractions with denominator 46.

$$\frac{525000}{46}-\frac{529}{46}$$

Since \frac{525000}{46} and \frac{529}{46} have the same denominator, subtract them by subtracting their numerators.

$$\frac{525000-529}{46}$$

Subtract 529 from 525000 to get 524471.

$$\frac{524471}{46}$$

Factor

$$\frac{43 \cdot 12197}{2 \cdot 23} = 11401\frac{25}{46} = 11401.54347826087$$