Solve 5-4/3*2/6

$$5 - \frac { 4 } { 3 } \cdot \frac { 2 } { 6 }$$

Evaluate

$$\frac{41}{9}\approx 4.555555556$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$5-\frac{4}{3}\times \frac{1}{3}$$

Multiply \frac{4}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{4\times 1}{3\times 3}$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 3}.

$$5-\frac{4}{9}$$

Convert 5 to fraction \frac{45}{9}.

$$\frac{45}{9}-\frac{4}{9}$$

Since \frac{45}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-4}{9}$$

Subtract 4 from 45 to get 41.

$$\frac{41}{9}$$

Factor

$$\frac{41}{3 ^ {2}} = 4\frac{5}{9} = 4.555555555555555$$