Solve 31/8-3/2*1/4=

$$3 \frac { 1 } { 8 } - \frac { 3 } { 2 } \cdot \frac { 1 } { 4 } =$$

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+1}{8}-\frac{3}{2}\times \frac{1}{4}$$

Add 24 and 1 to get 25.

$$\frac{25}{8}-\frac{3}{2}\times \frac{1}{4}$$

Multiply \frac{3}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25}{8}-\frac{3\times 1}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 4}.

$$\frac{25}{8}-\frac{3}{8}$$

Since \frac{25}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-3}{8}$$

Subtract 3 from 25 to get 22.

$$\frac{22}{8}$$

Reduce the fraction \frac{22}{8} to lowest terms by extracting and canceling out 2.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$