Which is greater, 3/5 or 5/8?
Understand the Problem
The question is asking to compare the two fractions, 3/5 and 5/8, to determine which one is greater. To solve this, we can find a common denominator or convert the fractions to decimal form.
Answer
$ \frac{3}{5} < \frac{5}{8} $
Answer for screen readers
$ \frac{3}{5} < \frac{5}{8} $
Steps to Solve
- Find a common denominator
To compare the fractions $ \frac{3}{5} $ and $ \frac{5}{8} $, we first need to find a common denominator. The denominators are 5 and 8. The least common multiple (LCM) of 5 and 8 is 40.
- Convert fractions to have the common denominator
Next, we will convert both fractions to have the common denominator of 40.
For $ \frac{3}{5} $: $$ \frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40} $$
For $ \frac{5}{8} $: $$ \frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40} $$
- Compare the new fractions
Now that both fractions have the same denominator, we can compare the numerators: $$ 24 < 25 $$
This means: $$ \frac{24}{40} < \frac{25}{40} $$
Thus, $ \frac{3}{5} < \frac{5}{8} $.
$ \frac{3}{5} < \frac{5}{8} $
More Information
The fraction $ \frac{3}{5} $ is less than $ \frac{5}{8} $. This means that in terms of value, $ \frac{5}{8} $ is greater.
Tips
- Forgetting to find the least common denominator.
- Comparing only the numerators without accounting for the denominators.
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