Is 4/5 greater than 3/4?
Understand the Problem
The question is asking us to compare the two fractions 4/5 and 3/4 to determine which one is greater.
Answer
$ \frac{4}{5} > \frac{3}{4} $
Answer for screen readers
The fraction $ \frac{4}{5} $ is greater than $ \frac{3}{4} $.
Steps to Solve
- Find a common denominator
To compare the fractions, we need to convert them to have the same denominator. The denominators are 5 and 4. The least common denominator (LCD) of 5 and 4 is 20.
- Convert the first fraction
Next, we will convert the fraction $ \frac{4}{5} $ to have a denominator of 20. We do this by multiplying both the numerator and the denominator by 4:
$$ \frac{4}{5} = \frac{4 \times 4}{5 \times 4} = \frac{16}{20} $$
- Convert the second fraction
Then, we will convert the fraction $ \frac{3}{4} $ to have a denominator of 20. We do this by multiplying both the numerator and the denominator by 5:
$$ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} $$
- Compare the fractions
Now that both fractions have the same denominator, we can compare the numerators. We have:
$$ \frac{16}{20} \text{ and } \frac{15}{20} $$
Since $16 > 15$, we can conclude that $ \frac{16}{20} > \frac{15}{20} $.
- State the conclusion
Therefore, it follows that $ \frac{4}{5} > \frac{3}{4} $.
The fraction $ \frac{4}{5} $ is greater than $ \frac{3}{4} $.
More Information
When comparing fractions, converting them to a common denominator is a standard method. This allows us to directly compare the numerators, making it easier to determine which fraction is larger.
Tips
- Forgetting to find a common denominator before comparing the fractions.
- Not multiplying both the numerator and the denominator when converting the fractions.
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