Is 3/8 greater than 1/3?
Understand the Problem
The question is asking us to compare the two fractions 3/8 and 1/3 to determine which one is greater. This involves finding a common denominator or converting the fractions to a decimal form for comparison.
Answer
\frac{3}{8} > \frac{1}{3}
Answer for screen readers
Therefore, 3/8 is greater than 1/3.
Steps to Solve
- Find the Least Common Denominator (LCD)
The least common denominator for 8 and 3 is 24, so we will convert both fractions to have this common denominator.
- Convert 3/8 to a fraction with denominator 24
Multiply the numerator and the denominator of 3/8 by 3:
$$ \frac{3}{8} \times \frac{3}{3} = \frac{9}{24} $$
- Convert 1/3 to a fraction with denominator 24
Multiply the numerator and the denominator of 1/3 by 8:
$$ \frac{1}{3} \times \frac{8}{8} = \frac{8}{24} $$
- Compare the fractions
Now that both fractions have the same denominator, compare the numerators: 9 is greater than 8.
$$ 9/24 > 8/24 $$
Therefore, $$ \frac{3}{8} > \frac{1}{3} $$
Therefore, 3/8 is greater than 1/3.
More Information
When comparing fractions, converting them to have a common denominator or converting them to decimal form can make it easier to determine which is greater.
Tips
A common mistake is to compare fractions without converting them to a common denominator or decimal form first. Always make sure to standardize the format of the fractions before comparing.
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