Solve 7/4-8/5quadtext{5.}3/2-9/7

$$\frac { 7 } { 4 } - \frac { 8 } { 5 } \quad \text { 5. } \frac { 3 } { 2 } - \frac { 9 } { 7 }$$

Evaluate

$$-\frac{323}{28}\approx -11.535714286$$

Solution Steps

Cancel out 5 and 5.

$$\frac{7}{4}-8\times \frac{3}{2}-\frac{9}{7}$$

Express 8\times \frac{3}{2} as a single fraction.

$$\frac{7}{4}-\frac{8\times 3}{2}-\frac{9}{7}$$

Multiply 8 and 3 to get 24.

$$\frac{7}{4}-\frac{24}{2}-\frac{9}{7}$$

Divide 24 by 2 to get 12.

$$\frac{7}{4}-12-\frac{9}{7}$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{7}{4}-\frac{48}{4}-\frac{9}{7}$$

Since \frac{7}{4} and \frac{48}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-48}{4}-\frac{9}{7}$$

Subtract 48 from 7 to get -41.

$$-\frac{41}{4}-\frac{9}{7}$$

Least common multiple of 4 and 7 is 28. Convert -\frac{41}{4} and \frac{9}{7} to fractions with denominator 28.

$$-\frac{287}{28}-\frac{36}{28}$$

Since -\frac{287}{28} and \frac{36}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-287-36}{28}$$

Subtract 36 from -287 to get -323.

$$-\frac{323}{28}$$

Factor

$$-\frac{323}{28} = -11\frac{15}{28} = -11.535714285714286$$