Solve 3m/4>5/8

$$\frac { 3 m } { 4 } > \frac { 5 } { 8 }$$

Solve for m

$$m>\frac{5}{6}$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$3m>\frac{5}{8}\times 4$$

Express \frac{5}{8}\times 4 as a single fraction.

$$3m>\frac{5\times 4}{8}$$

Multiply 5 and 4 to get 20.

$$3m>\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$3m>\frac{5}{2}$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$m>\frac{\frac{5}{2}}{3}$$

Express \frac{\frac{5}{2}}{3} as a single fraction.

$$m>\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$m>\frac{5}{6}$$