Subtraction of Fractions - Examples, Exercises and Solutions

To solve this problem, we'll execute the following steps:

• Step 1: Identify like denominators.
• Step 2: Subtract numerators, keeping the common denominator.
• Step 3: Simplify if necessary.

Let's work through the solution:

Step 1: Both fractions, $\frac{7}{5}$ and $\frac{4}{5}$, have the same denominator of 5.

Step 2: Subtract the numerators: $7 - 4 = 3$.

Step 3: The result is $\frac{3}{5}$, with no further simplification necessary.

The correct solution to the given subtraction problem is $\frac{3}{5}$.

To solve the problem, we'll follow these steps:

• Step 1: Confirm the fractions have the same denominator. Here, both denominators are 5.
• Step 2: Subtract the numerators of the fractions: $8 - 4$.
• Step 3: Write the result over the common denominator: $\frac{4}{5}$.

Now, let's calculate:
Step 1: Both fractions $\frac{8}{5}$ and $\frac{4}{5}$ have a common denominator of 5.
Step 2: Subtract the numerators: $8 - 4 = 4$.
Step 3: Place the result over the common denominator: $\frac{4}{5}$.

Therefore, the solution to the problem is $\mathbf{\frac{4}{5}}$.

To solve this problem, we'll subtract two fractions with a common denominator. Here is the step-by-step process:

• Step 1: Identify the numerators: The numbers on top of the fractions are 3 and 1.
• Step 2: Subtract the numerators: Calculate $3 - 1 = 2$.
• Step 3: Retain the common denominator: Since the two fractions have the same denominator, 9, retain this in the result.

Thus, the result of subtracting $\frac{1}{9}$ from $\frac{3}{9}$ is $\frac{2}{9}$.

Therefore, the solution to the problem is $\frac{2}{9}$.

Let's solve the subtraction of two fractions:

Step 1: Identify the fractions given:
The fractions are $\frac{3}{5}$ and $\frac{2}{5}$, both having a common denominator of 5.

Step 2: Subtract the numerators while keeping the denominator the same:
The numerator result is $3 - 2 = 1$.

Step 3: Retain the common denominator:
Thus, the result of the subtraction is $\frac{1}{5}$.

Therefore, the solution to the problem is $\frac{1}{5}$.

To solve this problem, let's follow these steps:

• Step 1: Identify and understand the problem
• Step 2: Analyze the structure of the fractions involved
• Step 3: Perform subtraction of like fractions

Now, let's work through each step:

Step 1: The problem asks us to subtract two fractions: $\frac{3}{3}$ and $\frac{1}{3}$. These fractions have the same denominator, which means they are "like" fractions.

Step 2: In subtraction of fractions with like denominators, we only need to subtract the numerators while keeping the denominator the same. Let's set up the expression:

$\frac{3}{3} - \frac{1}{3}$

Step 3: Subtract the numerators:

$3 - 1 = 2$

So, the result of the subtraction is $\frac{2}{3}$.

Therefore, the solution to the problem is $\frac{2}{3}$.

To solve this problem, follow these steps:

• Step 1: Verify that both fractions have the same denominator, which they do here — 5.
• Step 2: Subtract the numerators while keeping the denominator the same.
• Step 3: The numerators for each fraction are 6 and 4, so we calculate $6 - 4 = 2$.
• Step 4: Write the result as a fraction, keeping the original denominator: $\frac{2}{5}$.

Therefore, the solution to the problem is $\frac{2}{5}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given fractions and their denominators.
• Step 2: Use the subtraction formula for fractions with like denominators.
• Step 3: Calculate the result by subtracting the numerators and keeping the denominator constant.

Let's proceed with these steps:
Step 1: We are given the fractions $\frac{2}{4}$ and $\frac{1}{4}$. Both fractions have a denominator of 4.
Step 2: Since the denominators are the same, we apply the formula for subtracting fractions: $\frac{a}{b} - \frac{c}{b} = \frac{a-c}{b}$.
Step 3: Subtract the numerators: $2 - 1 = 1$. Keep the denominator 4 unchanged. Therefore, $\frac{2}{4} - \frac{1}{4} = \frac{1}{4}$.

Thus, the solution to the problem is $\frac{1}{4}$.

In this problem, $\frac{5}{6} - \frac{2}{6}$, we are tasked with subtracting two fractions with the same denominator.

Steps to solve the fraction problem:

• Step 1: Confirm that the denominators are the same. Here, both are 6.
• Step 2: Subtract the numerators. Take the numerator of the first fraction $5$ and subtract the numerator of the second fraction $2$. The calculation is $5 - 2 = 3$.
• Step 3: Place the result over the common denominator. This gives us $\frac{3}{6}$.
• Step 4: Simplify the fraction if possible. Here, $\frac{3}{6}$ can be simplified to $\frac{1}{2}$, but since the problem does not require simplification and a matching choice exists, we can leave it as is.

Therefore, the solution to the problem is $\frac{3}{6}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the fractions involved: $\frac{2}{5}$ and $\frac{0}{5}$.
• Step 2: Subtract the numerators: $2 - 0$.
• Step 3: Place the result over the common denominator.

Now, let's work through each step:
Step 1: The fractions are $\frac{2}{5}$ and $\frac{0}{5}$ with a common denominator of 5.
Step 2: Since the denominators are the same, we subtract the numerators: $2 - 0 = 2$.
Step 3: Write the result over the common denominator: $\frac{2}{5}$.

Therefore, the solution to the problem is $\frac{2}{5}$.

To solve the problem $\frac{3}{2} - \frac{1}{2}$, we will follow these steps:

• Step 1: Identify that both fractions have the same denominator, which allows us to directly subtract their numerators.
• Step 2: Perform the subtraction of the numerators while maintaining the common denominator.

Let's apply the steps:
Step 1: The expression is $\frac{3}{2} - \frac{1}{2}$. Both fractions have a common denominator of 2.

Step 2: Subtract the numerators:
$\frac{3 - 1}{2} = \frac{2}{2}$.

The expression simplifies to 1 as $\frac{2}{2} = 1$.

Therefore, the correct answer to the problem is 1.

The problem requires us to find the result of subtracting two fractions with the same denominator: $\frac{6}{7} - \frac{2}{7}$.

To solve this problem, we’ll follow these steps:

• Step 1: Identify that the fractions have the same denominator, which is 7.
• Step 2: Subtract the numerators: $6 - 2$.
• Step 3: Place the result of the subtraction over the unchanged denominator.

Let's work through each step:

Step 1: Observe that $\frac{6}{7}$ and $\frac{2}{7}$ both have a denominator of 7.

Step 2: Subtract the numerators: $6 - 2 = 4$.

Step 3: Place the result over the original denominator: $\frac{4}{7}$.

Therefore, the solution to the problem is $\frac{4}{7}$.

To solve this subtraction of fractions problem, we'll follow the outlined steps:

• Step 1: Identify the fractions involved: $\frac{4}{5}$ and $\frac{1}{5}$.
• Step 2: Ensure both fractions have the same denominator: $5$.
• Step 3: Subtract the numerators directly, since the denominators are identical.
• Step 4: Subtract the numerator of the second fraction from the numerator of the first: $4 - 1 = 3$.
• Step 5: Place the result over the original common denominator: $\frac{3}{5}$.

The solution to the problem $\frac{4}{5} - \frac{1}{5}$ is $\frac{3}{5}$.

The task is to perform a simple subtraction of fractions with like denominators. Here's how we solve it:

Initially, we have the fractions $\frac{4}{6}$ and $\frac{3}{6}$. Both fractions have the same denominator, which is 6.

• Step 1: Since the denominators are the same, we subtract only the numerators. This means we subtract 3 from 4, as follows:

$\frac{4}{6} - \frac{3}{6} = \frac{4 - 3}{6} = \frac{1}{6}$

The fraction $\frac{1}{6}$ is already in its simplest form. Therefore, the result of subtracting $\frac{3}{6}$ from $\frac{4}{6}$ is $\frac{1}{6}$.

The correct answer among the given choices is $\frac{1}{6}$. This corresponds to choice number 2 in the list of options provided.

Therefore, the solution to the problem is $\frac{1}{6}$.

Let's solve the problem $\frac{6}{6} - \frac{3}{6}$.

First, it's important to note that we're dealing with fractions that have the same denominator. This allows us to subtract the numerators directly while keeping the denominator unchanged.

Here are the steps we'll follow:

• Step 1: Identify the fractions involved: $\frac{6}{6}$ and $\frac{3}{6}$.
• Step 2: Subtract the numerators of the fractions: $6 - 3$.
• Step 3: Keep the denominator the same: $6$.
• Step 4: Combine the results to form the new fraction.

Now let's proceed with the calculation:

Step 2: Subtract the numerators: $6 - 3 = 3$.

Step 3: Since the denominators are the same, the new denominator remains $6$.

Step 4: Combine the results: This gives us the fraction $\frac{3}{6}$.

Therefore, the solution to the problem $\frac{6}{6} - \frac{3}{6}$ is $\frac{3}{6}$.

To solve the problem of subtracting $\frac{5}{7}$ and $\frac{3}{7}$, follow these steps:

• Step 1: Subtract the numerators: $5 - 3 = 2$.
• Step 2: Keep the denominator the same: 7.
• Step 3: Construct the resulting fraction: $\frac{2}{7}$.

Thus, the subtraction of these fractions results in the fraction $\frac{2}{7}$.

Therefore, the correct answer is $\frac{2}{7}$.