Solve 9/4+1/1000-16/25-1/1=

$$\frac { 9 } { 4 } + \frac { 1 } { 1000 } - \frac { 16 } { 25 } - \frac { 1 } { 1 } =$$

Evaluate

$$\frac{611}{1000}=0.611$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{9}{4}+\frac{1}{1000}-\frac{16}{25}-1$$

Least common multiple of 4 and 1000 is 1000. Convert \frac{9}{4} and \frac{1}{1000} to fractions with denominator 1000.

$$\frac{2250}{1000}+\frac{1}{1000}-\frac{16}{25}-1$$

Since \frac{2250}{1000} and \frac{1}{1000} have the same denominator, add them by adding their numerators.

$$\frac{2250+1}{1000}-\frac{16}{25}-1$$

Add 2250 and 1 to get 2251.

$$\frac{2251}{1000}-\frac{16}{25}-1$$

Least common multiple of 1000 and 25 is 1000. Convert \frac{2251}{1000} and \frac{16}{25} to fractions with denominator 1000.

$$\frac{2251}{1000}-\frac{640}{1000}-1$$

Since \frac{2251}{1000} and \frac{640}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2251-640}{1000}-1$$

Subtract 640 from 2251 to get 1611.

$$\frac{1611}{1000}-1$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{1611}{1000}-\frac{1000}{1000}$$

Since \frac{1611}{1000} and \frac{1000}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1611-1000}{1000}$$

Subtract 1000 from 1611 to get 611.

$$\frac{611}{1000}$$

Factor

$$\frac{13 \cdot 47}{2 ^ {3} \cdot 5 ^ {3}} = 0.611$$