Which is bigger, 3/16 or 1/4?
Understand the Problem
The question is asking to compare two fractions, 3/16 and 1/4, to determine which one is larger. To solve this, we can convert both fractions to have a common denominator or convert them to decimal form for comparison.
Answer
$\frac{1}{4}$
Answer for screen readers
The final answer is $\frac{1}{4}$ is larger than $\frac{3}{16}$
Steps to Solve
- Find a common denominator
First, we need to find a common denominator for both fractions to compare them.
The denominators of the two fractions are 16 and 4. The least common multiple (LCM) of 16 and 4 is 16.
So we will convert both fractions to have a denominator of 16.
- Convert fractions to the common denominator
$$\frac{1}{4} = \frac{1 \times 4}{4 \times 4} = \frac{4}{16}$$
Now both fractions are:
$$\frac{3}{16}$$ and $$\frac{4}{16}$$
- Compare the numerators
Since the denominators are the same, we can compare the numerators directly.
$$3 < 4$$
Thus, $$\frac{3}{16} < \frac{4}{16}$$
Therefore,
$$\frac{3}{16} < \frac{1}{4}$$
The final answer is $\frac{1}{4}$ is larger than $\frac{3}{16}$
More Information
Fraction comparison often involves finding a common denominator to easily compare the values.
Tips
A common mistake is to compare fractions by their denominators directly without converting them to a common base.
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