Solve 3/9-(11/9*5/3)

$$\frac{ 3 }{ 9 } -( \frac{ 11 }{ 9 } \times \frac{ 5 }{ 3 } )$$

Evaluate

$$-\frac{46}{27}\approx -1.703703704$$

Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}-\frac{11}{9}\times \frac{5}{3}$$

Multiply \frac{11}{9} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{11\times 5}{9\times 3}$$

Do the multiplications in the fraction \frac{11\times 5}{9\times 3}.

$$\frac{1}{3}-\frac{55}{27}$$

Least common multiple of 3 and 27 is 27. Convert \frac{1}{3} and \frac{55}{27} to fractions with denominator 27.

$$\frac{9}{27}-\frac{55}{27}$$

Since \frac{9}{27} and \frac{55}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-55}{27}$$

Subtract 55 from 9 to get -46.

$$-\frac{46}{27}$$

Factor

$$-\frac{46}{27} = -1\frac{19}{27} = -1.7037037037037037$$