Solve 1/3*22.5

$$\frac{ 1 }{ 3 } \times 22.5$$

Evaluate

$$7.5$$

Solution Steps

Convert decimal number 22.5 to fraction \frac{225}{10}. Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}\times \frac{45}{2}$$

Multiply \frac{1}{3} times \frac{45}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 45}{3\times 2}$$

Do the multiplications in the fraction \frac{1\times 45}{3\times 2}.

$$\frac{45}{6}$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$