What is fraction equivalent to 4/4? explain how you know
The Correct Answer and Explanation is:
The fraction equivalent to 4/4 is 1. Here’s why:
A fraction is expressed as a ratio of two numbers: the numerator (top number) and the denominator (bottom number). In the case of 4/4, the numerator is 4, and the denominator is also 4. When the numerator and denominator are the same, the fraction represents a whole.
This is because any number divided by itself is equal to 1 (assuming the denominator is not zero, since division by zero is undefined). In mathematical terms, we can express this as: aa=1wherea≠0\frac{a}{a} = 1 \quad \text{where} \quad a \neq 0aa=1wherea=0
In your case, since both the numerator and the denominator are 4, we get: 44=1\frac{4}{4} = 144=1
This means that 4/4 is equivalent to 1. This principle applies to any fraction where the numerator and denominator are the same non-zero number. For example, 5/5, 10/10, 100/100, and so on, are all equivalent to 1.
Fractions like 4/4 also represent a whole in a certain context. For instance, if you have 4 out of 4 pieces of a pie, you have the entire pie, or one whole pie. This helps reinforce the idea that 4/4 equals 1.
So, to summarize: 4/4 is equivalent to 1 because both numbers are the same, and any fraction where the numerator equals the denominator simplifies to 1.
