Solve 34a/90<173/50

$$3 \frac { 4 a } { 90 } < \frac { 173 } { 50 }$$

Solve for a

$$a<\frac{519}{20}$$

Solution Steps

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

$$\frac{4a}{90}<\frac{\frac{173}{50}}{3}$$

Express \frac{\frac{173}{50}}{3} as a single fraction.

$$\frac{4a}{90}<\frac{173}{50\times 3}$$

Multiply 50 and 3 to get 150.

$$\frac{4a}{90}<\frac{173}{150}$$

Multiply both sides by 90. Since 90 is positive, the inequality direction remains the same.

$$4a<\frac{173}{150}\times 90$$

Express \frac{173}{150}\times 90 as a single fraction.

$$4a<\frac{173\times 90}{150}$$

Multiply 173 and 90 to get 15570.

$$4a<\frac{15570}{150}$$

Reduce the fraction \frac{15570}{150} to lowest terms by extracting and canceling out 30.

$$4a<\frac{519}{5}$$

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

$$a<\frac{\frac{519}{5}}{4}$$

Express \frac{\frac{519}{5}}{4} as a single fraction.

$$a<\frac{519}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$a<\frac{519}{20}$$