Comparing Fractions Practice Problems & Worksheets

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 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:

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

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 the problem, we begin by comparing the fractions $\frac{1}{2}$ and $\frac{2}{4}$. We will simplify $\frac{2}{4}$ to see if it is equivalent to $\frac{1}{2}$.

Let's simplify $\frac{2}{4}$. We do this by finding the greatest common divisor (GCD) of 2 and 4, which is 2. We then divide both the numerator and the denominator by 2:

Now, we see that $\frac{2}{4}$ simplifies to $\frac{1}{2}$.

Since $\frac{2}{4}$ simplifies to $\frac{1}{2}$, the two fractions are equivalent.

Therefore, we fill in the missing sign with an equals sign:

$=$

To solve the problem, we will compare two fractions: $\frac{2}{8}$ and $\frac{7}{8}$.

Both fractions have the same denominator (8), which allows us to directly compare the numerators. Therefore, we need only consider the values of the numerators to understand the relationship between the two fractions.

• Step 1: Identify the numerators. For $\frac{2}{8}$, the numerator is 2. For $\frac{7}{8}$, the numerator is 7.
• Step 2: Compare the numerators. We observe that $2 < 7$.

Since 2 is less than 7, it follows that $\frac{2}{8}$ is less than $\frac{7}{8}$.

Therefore, the correct sign to place between $\frac{2}{8}$ and $\frac{7}{8}$ is $<$.

The solution to the problem is $<$.