I'm a fraction playing card. My demominator is 4 times my numerator. Add my numerator and denominator and you get 15. Who am I?
d=4n
d+n=15
4n+n=15
5n=15
n=3
d=12
3 /12
Let's solve the problem step-by-step:
Step 1: Let's represent the fraction as a/b, where a is the numerator and b is the denominator.
Step 2: According to the given information, the denominator (b) is 4 times the numerator (a). So we can write this as b = 4a.
Step 3: The problem also states that when we add the numerator (a) and denominator (b), we get 15. So we can write this as a + b = 15.
Step 4: Now, substitute the value of b from step 2 into the equation in step 3: a + 4a = 15.
Step 5: Combine like terms: 5a = 15.
Step 6: Solve for a by dividing both sides of the equation by 5: a = 15/5.
Step 7: Simplify the fraction: a = 3.
Step 8: Substitute the value of a back into the equation from step 2 to find b: b = 4*3.
Step 9: Simplify: b = 12.
So the fraction is 3/12.
To solve this problem, let's assign a variable to the numerator of the fraction. Let's say the numerator is represented by 'x'.
According to the problem, the denominator is 4 times the numerator, so the denominator would be 4x.
Now, we are given that the sum of the numerator and denominator is 15. Mathematically, we can represent this as:
x + 4x = 15
Simplifying the equation, we combine like terms:
5x = 15
To solve for x, we divide both sides of the equation by 5:
x = 15 / 5
x = 3
So, the numerator of the fraction is 3.
Since the denominator is 4 times the numerator, we can find the denominator by multiplying 3 by 4:
4 * 3 = 12
Therefore, the fraction is 3/12.
To represent this as a playing card, the fraction 3/12 can be written as a reduced fraction, which simplifies to 1/4.
Thus, the fraction playing card is 1/4.