Solve 22/5*1/4-3/8

$$2 \frac { 2 } { 5 } \times \frac { 1 } { 4 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{9}{40}=0.225$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}\times \frac{1}{4}-\frac{3}{8}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}\times \frac{1}{4}-\frac{3}{8}$$

Multiply \frac{12}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 1}{5\times 4}-\frac{3}{8}$$

Do the multiplications in the fraction \frac{12\times 1}{5\times 4}.

$$\frac{12}{20}-\frac{3}{8}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}-\frac{3}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{3}{5} and \frac{3}{8} to fractions with denominator 40.

$$\frac{24}{40}-\frac{15}{40}$$

Since \frac{24}{40} and \frac{15}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-15}{40}$$

Subtract 15 from 24 to get 9.

$$\frac{9}{40}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3} \cdot 5} = 0.225$$