# 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.

$\frac{3}{4}$ is greater than $\frac{2}{3}$

The fraction $\frac{3}{4}$ is greater than the fraction $\frac{2}{3}$

#### Steps to Solve

1. Identify Common Denominator

To compare the fractions $\frac{3}{4}$ and $\frac{2}{3}$, we need a common denominator.

1. Find the Least Common Denominator (LCD)

The least common denominator of 4 and 3 is 12.

1. 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} ]

1. 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 $\frac{2}{3}$