if 1/X = 12/25 what is X and how do you find it?

Question

plz help im lost really really really lost i mean x has to be a fraction right but can there be a fraction within a fraction

Answer 1

1/x = 12/25
x =25/12
x= 2, 1/12

Answer 2

1/x = 12/25 can be solved a number of ways. The simplest for this particular problem is simply to invert the fractions. Rewrite the equation as x/1 = 25/12. On the left side x/1 is equal to x so the equation now reads x = 25/12. You have essentially solved the question although your answer is written as an improper fraction. The answer can also be written as a mixed fraction (2 and 1/12) or as a decimal (2.08333....)

More generally questions of this sort can also be solved by cross multiplication. Multiply the numerator (top number) of the fraction on the left side of the equals with the denominator (bottom number) of the fraction on the right side of the equals then multiply the denominator of the fraction on the left side of the equals with the numerator of the fraction on the right side of the equals. Write your results with an equal sign between them. Then solve the equation by dividing both sides of the eequation by the coefficient of the x.

1 / x = 12 / 25

(1)(25) = 25 and (x)(12) = 12 x

we can write the equation 25 = 12 x

Solve the equation 25 = 12 x for 'x' by dividing both sides of the
equation by 12 (the coefficient of 'x')


The result will be x = 25 / 12 , the same answer as the first
method which again can be written as a mixed fraction or in decimal
form.



As for the second part of your question, normally no we do not write fractions within fractions as they can be simplified into a 'normal' fraction. There are, however, a number of ways in which the equation you are solving can be interpreted so that a fraction as an answer for 'x' is acceptable. I will include two.


1) Remember that a fraction is also another way of writing division. Although not likely it is possible to write the equation with division signs replacing the fraction bars. It would still be the same equation with the same result.

2) The equation you are trying to solve could also be a proportion. A proportion is a mathematical expression which shows that two ratios (or rates) are equivalent to each other. So the 'fractions' are not in fact 'fractions' but ratios or rates. Ratios and rates are simply comparisons of two numbers (or measurements) and those numbers can in fact be fractions.

Answer 3

x=25/12

Answer 4

It's legal in math to just flip both sides.

Change 1/x to x/1
Change 12/25 to 25/12

and thats your answer, x/1 = 25/12

If in doubt, look below


2/8 = 6/24

8/2 = 24/6

Answer 5

You do what's called cross multiplying. Multiply the top left(1) by the bottom right(25), and multiply the bottom left(x) by the top right(12). If you draw lines connecting these pairs, it forms an X or a cross. Place one product on either side, then solve for x by undoing whatever is happening to it.
1 12
-- = --
x 25

25 = 12x

25 12x
--- = ---
12 12

2.0833 = x

Answer 6

Let's get rid of the fractions first. Multiply each side by X, so you get 1=(12X) / 25.

Now multiply each side by 25. thatll make it 25=12X.
Then you just divide each side by 12 to get X alone.
X=25/12

Answer 7

1/X = 12/25
Just cross multiple and divide to solve for X.
So, we have 1 x 25 = 25
and 25 / 12 = 2 1/12 = 2.083

So, X = 2.083 or 2 1/12

Answer 8

If 1/X=12/25,
25=12X
X=25/12
Simple. Put that in the eqn. you'll get 1/25/12=12/25. Right? Got it? Now give me my 10 points.

Answer 9

here we have:
1/x = 12/25
multiply both sides by x;
1 = 12x/25;
multiply both sides by 25;
25 = 12x;
now divide both sides by 12;
25/12 = x;
=> x = 25/12 which is the required answer.

Answer 10

(1/x) = (12/25)

cross multiply

12x = 25

x = (25/12)