Solve 50-(61/3-2/9)

$$50 - ( 6 \frac { 1 } { 3 } - \frac { 2 } { 9 } )$$

Evaluate

$$\frac{395}{9}\approx 43.888888889$$

Solution Steps

Multiply 6 and 3 to get 18.

$$50-\left(\frac{18+1}{3}-\frac{2}{9}\right)$$

Add 18 and 1 to get 19.

$$50-\left(\frac{19}{3}-\frac{2}{9}\right)$$

Least common multiple of 3 and 9 is 9. Convert \frac{19}{3} and \frac{2}{9} to fractions with denominator 9.

$$50-\left(\frac{57}{9}-\frac{2}{9}\right)$$

Since \frac{57}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$50-\frac{57-2}{9}$$

Subtract 2 from 57 to get 55.

$$50-\frac{55}{9}$$

Convert 50 to fraction \frac{450}{9}.

$$\frac{450}{9}-\frac{55}{9}$$

Since \frac{450}{9} and \frac{55}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{450-55}{9}$$

Subtract 55 from 450 to get 395.

$$\frac{395}{9}$$

Factor

$$\frac{5 \cdot 79}{3 ^ {2}} = 43\frac{8}{9} = 43.888888888888886$$