What fraction is equivalent to 8?

Understand the Problem

The question is asking for a fraction that is equivalent to the whole number 8. An equivalent fraction can be expressed using the number 8 as the numerator and any non-zero number as the denominator, like 8/1.

Answer

$\frac{8}{1}$

Steps to Solve

Identify the whole number to convert To find an equivalent fraction for the whole number 8, we start with 8 itself.
Choosing a denominator We can choose any non-zero number as a denominator. A common choice is 1, but we can pick any number we like.
Create the equivalent fraction Using 8 as the numerator and the chosen denominator, we can write the fraction. For instance, if we choose 1 as the denominator, we have: $$ \frac{8}{1} $$
General form of equivalent fractions To create a variety of equivalent fractions, we can multiply both the numerator and denominator by the same non-zero integer. For example, multiplying by 2: $$ \frac{8 \times 2}{1 \times 2} = \frac{16}{2} $$
More examples Continuing this process with different integers will lead to more equivalent fractions. For instance:

If we multiply by 3: $$ \frac{8 \times 3}{1 \times 3} = \frac{24}{3} $$
If we multiply by 4: $$ \frac{8 \times 4}{1 \times 4} = \frac{32}{4} $$

An equivalent fraction for the whole number 8 is $\frac{8}{1}$. Other equivalent fractions include $\frac{16}{2}$, $\frac{24}{3}$, and $\frac{32}{4}$.

More Information

Every whole number can be expressed as an equivalent fraction. This concept is useful in various areas of mathematics, like simplifying fractions and understanding multiplication.

Tips

Confusing the concept of an equivalent fraction with just writing any random fraction. Remember: an equivalent fraction must represent the same value.
Forgetting that you can multiply by any non-zero integer to create many equivalent fractions.

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