Solve 32.4-1/3*0.25

$$32.4 - \frac { 1 } { 3 } \times 0.25$$

Evaluate

$$\frac{1939}{60}\approx 32.316666667$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$32.4-\frac{1}{3}\times \frac{1}{4}$$

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

$$32.4-\frac{1\times 1}{3\times 4}$$

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

$$32.4-\frac{1}{12}$$

Convert decimal number 32.4 to fraction \frac{324}{10}. Reduce the fraction \frac{324}{10} to lowest terms by extracting and canceling out 2.

$$\frac{162}{5}-\frac{1}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{162}{5} and \frac{1}{12} to fractions with denominator 60.

$$\frac{1944}{60}-\frac{5}{60}$$

Since \frac{1944}{60} and \frac{5}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1944-5}{60}$$

Subtract 5 from 1944 to get 1939.

$$\frac{1939}{60}$$

Factor

$$\frac{7 \cdot 277}{3 \cdot 5 \cdot 2 ^ {2}} = 32\frac{19}{60} = 32.31666666666667$$