Solve 1/2*2.5*1.25

$$\frac{ 1 }{ 2 } \times 2.5 \times 1.25$$

Evaluate

$$1.5625$$

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.

$$\frac{1}{2}\times \frac{5}{2}\times 1.25$$

Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{2\times 2}\times 1.25$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.

$$\frac{5}{4}\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

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

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

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

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

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$