Solve 3/2*2-3/3-2div(1-frac{1{4})}

$$\frac { \frac { 3 } { 2 } \cdot 2 - 3 } { 3 - 2 \div ( 1 - \frac { 1 } { 4 } ) }$$

Evaluate

$$0$$

Solution Steps

Cancel out 2 and 2.

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

Subtract 3 from 3 to get 0.

$$\frac{0}{3-\frac{2}{1-\frac{1}{4}}}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{0}{3-\frac{2}{\frac{4}{4}-\frac{1}{4}}}$$

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

$$\frac{0}{3-\frac{2}{\frac{4-1}{4}}}$$

Subtract 1 from 4 to get 3.

$$\frac{0}{3-\frac{2}{\frac{3}{4}}}$$

Divide 2 by \frac{3}{4} by multiplying 2 by the reciprocal of \frac{3}{4}.

$$\frac{0}{3-2\times \frac{4}{3}}$$

Express 2\times \frac{4}{3} as a single fraction.

$$\frac{0}{3-\frac{2\times 4}{3}}$$

Multiply 2 and 4 to get 8.

$$\frac{0}{3-\frac{8}{3}}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{0}{\frac{9}{3}-\frac{8}{3}}$$

Since \frac{9}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0}{\frac{9-8}{3}}$$

Subtract 8 from 9 to get 1.

$$\frac{0}{\frac{1}{3}}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$