# ACT Math : Algebraic Fractions

## Example Questions

### Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

To solve this problem you must cross mutiply, then set the two equations equal to each other. Your first equation is, your second is . This gives you . Subtract  from both sides, so you have , divide by  on both sides and you have .

Solve for :

Explanation:

Cross multiply:

Distribute:

Solve for

Solve for :

Explanation:

Cross-multiply:

Solve for

Simplify:

Solve for :

Explanation:

Cross-multiply:

Distribute:

Solve for

### Example Question #15 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

Begin by cross-multiplying:

Now, solve for .

### Example Question #16 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

Begin by cross multiplying.

Next, solve for .

### Example Question #17 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

Begin by cross multiplying:

Now, solve for :

### Example Question #18 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

Begin by cross multiplying.

Now, solve for .

### Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

Explanation:

Begin by cross-multiplying.

Now, solve for :

Solve for :