Is 7/8 greater than 3/4?
Understand the Problem
The question asks whether the fraction 7/8 is greater than the fraction 3/4. To determine this, we can compare the two fractions by finding a common denominator or converting them to decimals.
Answer
$\frac{7}{8} > \frac{3}{4}$
Answer for screen readers
The fraction $\frac{7}{8}$ is greater than $\frac{3}{4}$
Steps to Solve
- Convert fractions to a common denominator
To compare $\frac{7}{8}$ and $\frac{3}{4}$, we need to express both fractions with a common denominator. The least common denominator (LCD) between 8 and 4 is 8.
- Adjust fractions to have common denominator
Convert $\frac{3}{4}$ so that it has a denominator of 8: $$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$$
Now we compare $\frac{7}{8}$ and $\frac{6}{8}$.
- Compare the numerators
Since both fractions now have the same denominator, we can compare the numerators directly: $$7 > 6$$
Therefore, $\frac{7}{8}$ is greater than $\frac{3}{4}$.
The fraction $\frac{7}{8}$ is greater than $\frac{3}{4}$
More Information
Fractions can be compared by finding a common denominator or converting them to decimals.
Tips
A common mistake is to compare fractions without finding a common denominator or converting them to equivalent forms. Make sure fractions are in a comparable form before comparing.
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