Solve 3/u+5/7+frac{3{u}}

$$\frac { \frac { 3 } { u } + 5 } { 7 + \frac { 3 } { u } }$$

Evaluate

$$\frac{5u+3}{7u+3}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{u}{u}.

$$\frac{\frac{3}{u}+\frac{5u}{u}}{7+\frac{3}{u}}$$

Since \frac{3}{u} and \frac{5u}{u} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+5u}{u}}{7+\frac{3}{u}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{u}{u}.

$$\frac{\frac{3+5u}{u}}{\frac{7u}{u}+\frac{3}{u}}$$

Since \frac{7u}{u} and \frac{3}{u} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+5u}{u}}{\frac{7u+3}{u}}$$

Divide \frac{3+5u}{u} by \frac{7u+3}{u} by multiplying \frac{3+5u}{u} by the reciprocal of \frac{7u+3}{u}.

$$\frac{\left(3+5u\right)u}{u\left(7u+3\right)}$$

Cancel out u in both numerator and denominator.

$$\frac{5u+3}{7u+3}$$

Expand

$$\frac{5u+3}{7u+3}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{u}{u}.

$$\frac{\frac{3}{u}+\frac{5u}{u}}{7+\frac{3}{u}}$$

Since \frac{3}{u} and \frac{5u}{u} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+5u}{u}}{7+\frac{3}{u}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{u}{u}.

$$\frac{\frac{3+5u}{u}}{\frac{7u}{u}+\frac{3}{u}}$$

Since \frac{7u}{u} and \frac{3}{u} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+5u}{u}}{\frac{7u+3}{u}}$$

Divide \frac{3+5u}{u} by \frac{7u+3}{u} by multiplying \frac{3+5u}{u} by the reciprocal of \frac{7u+3}{u}.

$$\frac{\left(3+5u\right)u}{u\left(7u+3\right)}$$

Cancel out u in both numerator and denominator.

$$\frac{5u+3}{7u+3}$$