Comparing Fractions - Examples, Exercises and Solutions

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 $>$.

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 $<$.

To solve this problem, we need to determine which of the two fractions, $\frac{3}{10}$ and $\frac{1}{10}$, is greater. Since both fractions have the same denominator, the larger fraction will be the one with the larger numerator.

We'll follow these steps:

• Step 1: Identify the numerators of the two fractions. For $\frac{3}{10}$, the numerator is 3. For $\frac{1}{10}$, the numerator is 1.
• Step 2: Compare the numerators. Since 3 is greater than 1, this means that $\frac{3}{10}$ is greater than $\frac{1}{10}$.

Therefore, the correct mathematical sign to fill in the blank is $>$.

Thus, the complete inequality is: $\frac{3}{10} > \frac{1}{10}$.

The correct answer is choice 2: $\frac{3}{10} > \frac{1}{10}$.

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 solve this problem, we'll follow these steps:

• Step 1: Identify the given fractions, $\frac{4}{7}$ and $\frac{1}{7}$.
• Step 2: Note that both fractions share the same denominator of 7.
• Step 3: Compare the numerators of the fractions, 4 and 1.

Now, let's work through each step:
Step 1: The problem provides us with the fractions $\frac{4}{7}$ and $\frac{1}{7}$.
Step 2: We can compare the numerators directly since the denominators are the same. The numerators are 4 and 1, respectively.
Step 3: Since 4 is greater than 1, $\frac{4}{7}$ is greater than $\frac{1}{7}$.

Therefore, the correct comparison symbol to fill in the blank is $>$.