Solve 1/2div1/4-3/4*1/3

$$\frac { 1 } { 2 } \div \frac { 1 } { 4 } - \frac { 3 } { 4 } \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Divide \frac{1}{2} by \frac{1}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{4}.

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

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

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

Divide 4 by 2 to get 2.

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

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

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

Cancel out 3 in both numerator and denominator.

$$2-\frac{1}{4}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}-\frac{1}{4}$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{4}$$

Subtract 1 from 8 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$