Solve (21/2-3/4)4/7

$$( 2 \frac { 1 } { 2 } - \frac { 3 } { 4 } ) \frac { 4 } { 7 }$$

Evaluate

$$1$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\left(\frac{4+1}{2}-\frac{3}{4}\right)\times \frac{4}{7}$$

Add 4 and 1 to get 5.

$$\left(\frac{5}{2}-\frac{3}{4}\right)\times \frac{4}{7}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{3}{4} to fractions with denominator 4.

$$\left(\frac{10}{4}-\frac{3}{4}\right)\times \frac{4}{7}$$

Since \frac{10}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{4}\times \frac{4}{7}$$

Subtract 3 from 10 to get 7.

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

Cancel out \frac{7}{4} and its reciprocal \frac{4}{7}.

$$1$$

Factor

$$1$$