How many eighths are equivalent to 1/4?
Understand the Problem
The question is asking how many parts of one eighth (1/8) make up one quarter (1/4). To solve this, we can convert 1/4 into eighths by finding a common denominator.
Answer
There are $2$ parts of $ \frac{1}{8} $ in $ \frac{1}{4} $.
Answer for screen readers
There are $2$ parts of $\frac{1}{8}$ in $\frac{1}{4}$.
Steps to Solve
- Convert 1/4 to eighths
To compare how many parts of one eighth fit into one quarter, we need to convert $1/4$ into eighths.
The conversion is done by finding equivalent fractions.
Since $8$ is the denominator for eighths, we need to express $1/4$ as an equivalent fraction with $8$ as the denominator:
To do this, multiply both the numerator and the denominator of $1/4$ by $2$:
$$ \frac{1 \times 2}{4 \times 2} = \frac{2}{8} $$
So, $1/4$ is equivalent to $2/8$.
- Determine how many eighths are in 2/8
Now that we know $1/4$ equals $2/8$, we can see how many $1/8$ units are in $2/8$.
To find this, we divide $2/8$ by $1/8$:
$$ \frac{2/8}{1/8} = 2 $$
This shows that there are $2$ parts of $1/8$ in $1/4$.
There are $2$ parts of $\frac{1}{8}$ in $\frac{1}{4}$.
More Information
Understanding fractions and their equivalents is important in many areas of math. When converting fractions, it's essential to find a common denominator, which helps to compare fractions more easily.
Tips
- Confusing the operation: Some might try to add or subtract fractions instead of dividing them. It's important to remember that we need to divide to find the number of parts.
- Incorrect conversion of fractions: Always ensure your equivalent fractions are correctly calculated with the proper multiplication factors.
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