Solve 4/3*5/3*15/4

$$\frac { 4 } { 3 } \times \frac { 5 } { 3 } \times \frac { 15 } { 4 }$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Multiply \frac{4}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{3\times 3}\times \frac{15}{4}$$

Do the multiplications in the fraction \frac{4\times 5}{3\times 3}.

$$\frac{20}{9}\times \frac{15}{4}$$

Multiply \frac{20}{9} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 15}{9\times 4}$$

Do the multiplications in the fraction \frac{20\times 15}{9\times 4}.

$$\frac{300}{36}$$

Reduce the fraction \frac{300}{36} to lowest terms by extracting and canceling out 12.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$