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
$\frac{8}{1}$
Answer for screen readers
An equivalent fraction for the whole number 8 is $\frac{8}{1}$. Other equivalent fractions include $\frac{16}{2}$, $\frac{24}{3}$, and $\frac{32}{4}$.
Steps to Solve
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Identify the whole number to convert To find an equivalent fraction for the whole number 8, we start with 8 itself.
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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.
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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: $$ \frac{8}{1} $$
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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: $$ \frac{8 \times 2}{1 \times 2} = \frac{16}{2} $$
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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.
