Solve 200-(37/9+125/18*24)

$$200 - ( \frac { 37 } { 9 } + \frac { 125 } { 18 } \times 24 )$$

Evaluate

$$\frac{263}{9}\approx 29.222222222$$

Solution Steps

Express \frac{125}{18}\times 24 as a single fraction.

$$200-\left(\frac{37}{9}+\frac{125\times 24}{18}\right)$$

Multiply 125 and 24 to get 3000.

$$200-\left(\frac{37}{9}+\frac{3000}{18}\right)$$

Reduce the fraction \frac{3000}{18} to lowest terms by extracting and canceling out 6.

$$200-\left(\frac{37}{9}+\frac{500}{3}\right)$$

Least common multiple of 9 and 3 is 9. Convert \frac{37}{9} and \frac{500}{3} to fractions with denominator 9.

$$200-\left(\frac{37}{9}+\frac{1500}{9}\right)$$

Since \frac{37}{9} and \frac{1500}{9} have the same denominator, add them by adding their numerators.

$$200-\frac{37+1500}{9}$$

Add 37 and 1500 to get 1537.

$$200-\frac{1537}{9}$$

Convert 200 to fraction \frac{1800}{9}.

$$\frac{1800}{9}-\frac{1537}{9}$$

Since \frac{1800}{9} and \frac{1537}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1800-1537}{9}$$

Subtract 1537 from 1800 to get 263.

$$\frac{263}{9}$$

Factor

$$\frac{263}{3 ^ {2}} = 29\frac{2}{9} = 29.22222222222222$$