## Example Questions

find x

6/x = 9/19

not possible

7/12

none of these

3/38

9/114

none of these

Explanation:

cross multiply:

(6)(19) = 9x

114=9x

x = 38/3

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction Find x. None    Explanation:

Cross multiply:   ### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.      Explanation:

Let numerator = N and denominator = D.

According to the first statement,

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D.

Let's multiply the second equation by –2 and add itthe first equation:

–N = –6D

+[N = (D x 5) + 4]

=

–6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If , what is the value of ?      Explanation:

Start by cross multiplying to get the equation  .

Then simplify by subtracting from each side to get the solution, .

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If , then what is equal to?      Explanation:

We start by solving for x in by multiplying 4 and 15, which gives us .

Then substituting 60 for x in, gives us which equals 0.

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If , and , what is the value of ?      Explanation:

Start by cross multiplying which gives us .

Simplify by dividing both sides by which gives us .

Isolate by dividing both sides by and then adding to both sides, which gives us .

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

If , and what is the value of ?      Explanation:

Start by cross multiplying which gives us  .

Divide both sides by 12 and simplify which gives us .

Since , we only take the positive square root as the solution, .

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