Is 3/4 greater than 2/3?
Understand the Problem
The question is asking whether the fraction 3/4 is greater than the fraction 2/3. To solve this, we can compare the two fractions by finding a common denominator or converting them to decimal form.
Answer
$\frac{3}{4}$ is greater than $\frac{2}{3}$
Answer for screen readers
The fraction $\frac{3}{4}$ is greater than the fraction $\frac{2}{3}$
Steps to Solve
- Identify Common Denominator
To compare the fractions $\frac{3}{4}$ and $\frac{2}{3}$, we need a common denominator.
- Find the Least Common Denominator (LCD)
The least common denominator of 4 and 3 is 12.
- Convert Fractions to the Common Denominator
Multiply the numerator and the denominator of each fraction by the appropriate factor to get a common denominator.
For $\frac{3}{4}$: [ \frac{3 \times 3}{4 \times 3} = \frac{9}{12} ]
For $\frac{2}{3}$: [ \frac{2 \times 4}{3 \times 4} = \frac{8}{12} ]
- Compare the Converted Fractions
Now compare $\frac{9}{12}$ and $\frac{8}{12}$. Since 9 is greater than 8, $\frac{9}{12}$ is greater than $\frac{8}{12}$.
Therefore, $\frac{3}{4}$ is greater than $\frac{2}{3}$.
The fraction $\frac{3}{4}$ is greater than the fraction $\frac{2}{3}$
More Information
Finding a common denominator or converting fractions to decimal form are common methods for comparing fractions.
Tips
A common mistake is not finding the correct least common denominator or not converting both fractions correctly. Always double-check each step.
