Solve 3/4*5*5*5*1/3

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

Evaluate

$$\frac{125}{4}=31.25$$

Solution Steps

Express \frac{3}{4}\times 5 as a single fraction.

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

Multiply 3 and 5 to get 15.

$$\frac{15}{4}\times 5\times 5\times \frac{1}{3}$$

Express \frac{15}{4}\times 5 as a single fraction.

$$\frac{15\times 5}{4}\times 5\times \frac{1}{3}$$

Multiply 15 and 5 to get 75.

$$\frac{75}{4}\times 5\times \frac{1}{3}$$

Express \frac{75}{4}\times 5 as a single fraction.

$$\frac{75\times 5}{4}\times \frac{1}{3}$$

Multiply 75 and 5 to get 375.

$$\frac{375}{4}\times \frac{1}{3}$$

Multiply \frac{375}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{375\times 1}{4\times 3}$$

Do the multiplications in the fraction \frac{375\times 1}{4\times 3}.

$$\frac{375}{12}$$

Reduce the fraction \frac{375}{12} to lowest terms by extracting and canceling out 3.

$$\frac{125}{4}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25$$