Solve [[2/4+4/4-2/4+3/4)divfrac{2}{4}]*frac{2}{4}

$$[ [ \frac { 2 } { 4 } + \frac { 4 } { 4 } - \frac { 2 } { 4 } + \frac { 3 } { 4 } ) \div \frac { 2 } { 4 } ] \cdot \frac { 2 } { 4 }$$

Evaluate

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

Solution Steps

Divide 4 by 4 to get 1.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Since \frac{3}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 3 to get 2.

$$\frac{\frac{2}{2}+\frac{3}{4}}{\frac{2}{4}}\times \frac{2}{4}$$

Divide 2 by 2 to get 1.

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

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

$$\frac{\frac{4}{4}+\frac{3}{4}}{\frac{2}{4}}\times \frac{2}{4}$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+3}{4}}{\frac{2}{4}}\times \frac{2}{4}$$

Add 4 and 3 to get 7.

$$\frac{\frac{7}{4}}{\frac{2}{4}}\times \frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{4}}{\frac{1}{2}}\times \frac{2}{4}$$

Divide \frac{7}{4} by \frac{1}{2} by multiplying \frac{7}{4} by the reciprocal of \frac{1}{2}.

$$\frac{7}{4}\times 2\times \frac{2}{4}$$

Express \frac{7}{4}\times 2 as a single fraction.

$$\frac{7\times 2}{4}\times \frac{2}{4}$$

Multiply 7 and 2 to get 14.

$$\frac{14}{4}\times \frac{2}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}\times \frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}\times \frac{1}{2}$$

Multiply \frac{7}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{2\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{2\times 2}.

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

Factor

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