Question

I am a fraction greater than 1/2

My numerator is 3 less than my denominator
If you add 1/4 to me, you'd have 7/8
Which fraction am I?

Answer 1

To find the fraction described, we can solve an equation using the given information. The resulting fraction is 5/8.

Step-by-step explanation:

To find the fraction described in the question, let's start by using the information given. First, we know that the fraction is greater than 1/2. Let's assume the fraction is x, so x > 1/2.

Next, we're told that the numerator of the fraction is 3 less than the denominator. Let's represent the denominator as y, so the numerator is y - 3.

Now, we're given that if we add 1/4 to the fraction, we get 7/8. This can be written as x + 1/4 = 7/8.

By solving this equation, we can find the value of x, which represents the sought-after fraction.

Here are the steps to solve the equation:

1. Multiply both sides of the equation by 8 to eliminate the denominators: 8(x + 1/4) = 8(7/8)
2. Distribute 8 to both terms on the left side: 8x + 2 = 7
3. Subtract 2 from both sides to isolate 8x: 8x = 7 - 2
4. Simplify the right side: 8x = 5
5. Divide both sides by 8 to solve for x: x = 5/8

Therefore, the fraction in question is 5/8.