Solve 2.5*3/2*6.02/1

$$2.5 \times \frac { 3 } { 2 } \times \frac { 6.02 } { 1 }$$

Evaluate

$$22.575$$

Solution Steps

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}\times \frac{3}{2}\times \frac{6.02}{1}$$

Multiply \frac{5}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{2\times 2}\times \frac{6.02}{1}$$

Do the multiplications in the fraction \frac{5\times 3}{2\times 2}.

$$\frac{15}{4}\times \frac{6.02}{1}$$

Anything divided by one gives itself.

$$\frac{15}{4}\times 6.02$$

Convert decimal number 6.02 to fraction \frac{602}{100}. Reduce the fraction \frac{602}{100} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}\times \frac{301}{50}$$

Multiply \frac{15}{4} times \frac{301}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 301}{4\times 50}$$

Do the multiplications in the fraction \frac{15\times 301}{4\times 50}.

$$\frac{4515}{200}$$

Reduce the fraction \frac{4515}{200} to lowest terms by extracting and canceling out 5.

$$\frac{903}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 43}{5 \cdot 2 ^ {3}} = 22\frac{23}{40} = 22.575$$