Solve |21/2-3/4|*4/7

$$| 2 \frac { 1 } { 2 } - \frac { 3 } { 4 } | \cdot \frac { 4 } { 7 }$$

Evaluate

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Solution Steps

Multiply 2 and 2 to get 4.

$$|\frac{4+1}{2}-\frac{3}{4}|\times \frac{4}{7}$$

Add 4 and 1 to get 5.

$$|\frac{5}{2}-\frac{3}{4}|\times \frac{4}{7}$$

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

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

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.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{7}{4} is \frac{7}{4}.

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

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

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Factor

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