Solve 11/3*52/5*375

$$1 \frac { 1 } { 3 } \times 5 \frac { 2 } { 5 } \times 375$$

Evaluate

$$2700$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+1}{3}\times \frac{5\times 5+2}{5}\times 375$$

Add 3 and 1 to get 4.

$$\frac{4}{3}\times \frac{5\times 5+2}{5}\times 375$$

Multiply 5 and 5 to get 25.

$$\frac{4}{3}\times \frac{25+2}{5}\times 375$$

Add 25 and 2 to get 27.

$$\frac{4}{3}\times \frac{27}{5}\times 375$$

Multiply \frac{4}{3} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 27}{3\times 5}\times 375$$

Do the multiplications in the fraction \frac{4\times 27}{3\times 5}.

$$\frac{108}{15}\times 375$$

Reduce the fraction \frac{108}{15} to lowest terms by extracting and canceling out 3.

$$\frac{36}{5}\times 375$$

Express \frac{36}{5}\times 375 as a single fraction.

$$\frac{36\times 375}{5}$$

Multiply 36 and 375 to get 13500.

$$\frac{13500}{5}$$

Divide 13500 by 5 to get 2700.

$$2700$$

Factor

$$2^{2}\times 3^{3}\times 5^{2}$$