Did you know?
Did you know that in a fraction, the numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into? Now, let's apply this knowledge to a problem!
Imagine a fraction where the numerator is 5 less than the denominator. Let's call the numerator "x" and the denominator "x + 5."
Next, if we add 1 to both the numerator and denominator, our new fraction becomes 2/3. This means that if we add 1 to "x," the new numerator will be "x + 1," and if we add 1 to "x + 5," the new denominator will be "x + 6."
By setting up an equation, we can solve for the value of "x." In this case, we multiply the numerator and denominator of the original fraction by 3 (to get rid of the fraction) and set it equal to the numerator and denominator of the new fraction multiplied by the original denominator, which is "x + 5." Solving this equation will give us the value of "x," which represents the original numerator.
Using this approach, we can determine the value of the fraction. How fascinating it is to use math to uncover the unknown!