Comparing Fractions Practice Problems & Worksheets

To compare fractions with the same denominator, focus on the numerators:

• Given fractions: $\frac{5}{9}$ and $\frac{3}{9}$
• Since both fractions have the same denominator (9), we only need to compare the numerators.
• Numerator of the first fraction is 5, and the numerator of the second fraction is 3.
• Since 5 is greater than 3, $\frac{5}{9}$ is greater than $\frac{3}{9}$.

Therefore, the missing sign that correctly compares the two fractions is $>$, so the correct statement is:

$\frac{5}{9} > \frac{3}{9}$.

Let's solve the problem step-by-step:

Both fractions in the problem, $\frac{7}{4}$ and $\frac{2}{4}$, have the same denominator. This allows us to directly compare their numerators.

The numerators are 7 and 2, respectively. Therefore, we need to determine whether 7 is less than, greater than, or equal to 2.

Comparing 7 and 2:

• $7 > 2$

Since 7 is greater than 2, it follows that:

• $\frac{7}{4} > \frac{2}{4}$

The correct inequality symbol to fill in the blank is $>$.

Thus, the solution to the problem is $\frac{7}{4} > \frac{2}{4}$.

Therefore, the correct choice from the available options is choice 2: $>$.

To solve this problem, we need to compare two fractions with the same denominator and determine the appropriate comparison sign:

• Step 1: Notice that both fractions, $\frac{2}{5}$ and $\frac{6}{5}$, have the same denominator, $5$.
• Step 2: Focus on comparing the numerators of both fractions: $2$ and $6$.
• Step 3: Since $2$ is less than $6$, it follows that the fraction $\frac{2}{5}$ is less than $\frac{6}{5}$.

Therefore, the correct comparison sign to fill in the blank is $<$.

The missing sign is $<$.

To find the correct comparison sign for the fractions $\frac{1}{3}$ and $\frac{2}{3}$, follow these logical steps:

• Step 1: Look at the fractions $\frac{1}{3}$ and $\frac{2}{3}$. Both fractions have the same denominator, which is 3.
• Step 2: Identify the numerators of the fractions. The numerator of $\frac{1}{3}$ is 1, and the numerator of $\frac{2}{3}$ is 2.
• Step 3: Compare these numerators. Since 1 is less than 2, we deduce that $\frac{1}{3} \lt \frac{2}{3}$.

Therefore, the missing sign to correctly complete the expression $\frac{1}{3} ☒ \frac{2}{3}$ is $\lt$. Thus, the solution to the problem is $\frac{1}{3} \lt \frac{2}{3}$.

To solve this problem, follow these steps:

• Identify the two fractions: $\frac{6}{7}$ and $\frac{3}{7}$.

• Since both fractions have a common denominator, compare the numerators directly: 6 and 3.

• Determine that the numerator 6 is greater than 3.

• Based on this comparison, the fraction $\frac{6}{7}$ is greater than $\frac{3}{7}$.

• Thus, the correct sign to fill in the blank is $>$.

The correct answer to the problem is $>$.