41+87=
\( \frac{1}{4}+\frac{7}{8}= \)
\( \frac{4}{6}+\frac{1}{8}= \)
Solve the following exercise:
\( \frac{3}{4}+\frac{1}{6}=\text{?} \)
Solve the following exercise:
\( \frac{2}{4}+\frac{2}{6}=\text{?} \)
\( \frac{1}{2}+\frac{1}{6}= \)
To find the sum , follow these steps:
Therefore, the sum of and is .
To solve the addition of the fractions , we will first find the least common denominator.
Thus, the sum of the fractions and is .
The correct choice from the available options is .
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the addition of these two fractions, we'll proceed as follows:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the fraction addition problem , follow these steps:
Step 1: Identify the least common denominator (LCD) of the fractions. The denominators are 4 and 6. The factors of 4 are 2 and 2, and the factors of 6 are 2 and 3. The LCD is the smallest number that both denominators divide into, which is 12.
Step 2: Convert each fraction to an equivalent fraction with the denominator of 12.
Step 3: For :
Find the equivalent fraction: Multiply both the numerator and denominator by 3 (since 4 * 3 = 12).
The equivalent fraction is .
Step 4: For :
Find the equivalent fraction: Multiply both the numerator and denominator by 2 (since 6 * 2 = 12).
The equivalent fraction is .
Step 5: Add the new fractions: .
Therefore, the sum of the fractions is .
To solve the problem of adding and , we need to follow these steps:
Step 1: The denominators are 2 and 6. The least common multiple of 2 and 6 is 6.
Step 2: We convert each fraction:
- Convert to a denominator of 6: .
- The fraction already has the denominator 6.
Step 3: Add the fractions with common denominators:
Step 4: Simplify the fraction .
The greatest common divisor of 4 and 6 is 2, so divide both the numerator and the denominator by 2:
Therefore, the solution to the problem is .
Solve the following exercise:
\( \frac{1}{4}+\frac{4}{6}=\text{?} \)
Solve the following exercise:
\( \frac{2}{4}+\frac{1}{6}=\text{?} \)
\( \frac{1}{2}+\frac{4}{6}= \)
\( \frac{3}{4}+\frac{1}{6}= \)
Solve the following exercise:
\( \frac{1}{4}+\frac{2}{6}=\text{?} \)
Solve the following exercise:
To solve the problem of adding , follow these steps:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the problem of adding and , follow these steps:
Step 1: Identify the least common denominator of the fractions.
The denominators of the fractions are 4 and 6. The least common multiple of 4 and 6 is 12, so 12 is our common denominator.
Step 2: Convert each fraction to an equivalent fraction with the denominator of 12.
For : Multiply both numerator and denominator by 3 to obtain . This is because .
For : Multiply both numerator and denominator by 2 to obtain . This is because .
Step 3: Add the converted fractions.
Step 4: Simplify the final fraction if possible.
In this case, can be simplified by dividing numerator and denominator by their greatest common divisor, which is 4. Thus, simplifies to .
However, as per the problem's required answer, the unsimplified fraction is .
Therefore, the solution to the problem is:
To solve the problem of adding the fractions and , we start by finding the least common denominator (LCD).
First, we identify the denominators: 2 and 6. The least common multiple of 2 and 6 is 6, which will be our LCD.
Next, we convert each fraction to have the denominator of 6:
Convert to an equivalent fraction with a denominator of 6. Since , multiply the numerator by 3: .
The fraction already has the desired common denominator.
Now that the fractions are and , we can add them:
.
The solution to the problem is , which matches choice 2.
To solve the problem of adding the fractions and , we need to find a common denominator.
Therefore, the solution to the problem is .
Solve the following exercise:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The denominators are 4 and 6. The least common multiple of 4 and 6 is 12.
Step 2: Convert each fraction to have the denominator 12.
For , multiplying the numerator and denominator by 3 gives .
For , multiplying the numerator and denominator by 2 gives .
Step 3: Add the fractions: .
Step 4: Check if can be simplified. Since 7 and 12 have no common factors other than 1, it is already in its simplest form.
Therefore, the sum of is .
\( \frac{1}{4}+\frac{3}{4}= \)
\( \frac{1}{3}+\frac{1}{6}= \)
Solve the following exercise:
\( \frac{1}{3}+\frac{4}{9}=\text{?} \)
Solve the following exercise:
\( \frac{4}{10}+\frac{2}{6}=\text{?} \)
Solve the following exercise:
\( \frac{2}{6}+\frac{3}{9}=\text{?} \)
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Both fractions, and , have the same denominator, 4.
Step 2: Since the denominators are the same, we can add the numerators: .
Step 3: The resulting fraction is , which simplifies to .
Therefore, the solution to the problem is .
We need to find a common denominator for the fractions and in order to add them together.
Step 1: Identify the least common denominator (LCD).
Step 2: Convert each fraction to an equivalent fraction with the LCD of 6.
Step 3: Add the fractions.
Step 4: Simplify the result.
Thus, the result of the addition of and is .
Therefore, the solution to the problem is .
Solve the following exercise:
The problem involves adding the fractions and .
Step 1: Identify the Least Common Denominator (LCD).
Step 2: Convert the fractions to have the common denominator.
Step 3: Add the equivalent fractions.
Step 4: Simplify the result, if necessary.
Therefore, the solution to the problem is .
Solve the following exercise:
To solve for the sum of , we will proceed with the following steps:
Let's begin:
Step 1: Identify the least common denominator (LCD)
The denominators are 10 and 6. The least common multiple (LCM) of 10 and 6 can be found by evaluating their prime factors:
10 = 2 × 5
6 = 2 × 3
The LCM is found by taking the highest power of each prime that appears:
LCM = 2 × 3 × 5 = 30.
Thus, the common denominator is 30.
Step 2: Convert each fraction to an equivalent fraction with the common denominator of 30
For :
Multiply both the numerator and the denominator by 3 to make the denominator 30:
.
For :
Multiply both the numerator and the denominator by 5 to make the denominator 30:
.
Step 3: Add the numerators
Now that the fractions have the same denominator, add the numerators:
.
This fraction cannot be simplified further as 22 and 30 have no common factors besides 1.
Therefore, the sum of is .
Solve the following exercise:
To solve the addition of fractions , we will follow these logical steps:
The final result is that the sum of the fractions is .
\( \frac{3}{14}+\frac{3}{7}= \)
\( \frac{3}{4}+\frac{3}{8}= \)
Solve the following exercise:
\( \frac{3}{8}+\frac{5}{12}=\text{?} \)
Solve the following exercise:
\( \frac{1}{5}+\frac{7}{10}=\text{?} \)
Solve the following exercise:
\( \frac{4}{8}+\frac{3}{10}=\text{?} \)
To solve the problem of adding , we need the following steps:
Thus, the sum of the fractions is .
To solve the problem of adding and , let's follow a systematic approach:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the problem of adding and , follow these steps:
Thus, the fraction simplifies to .
Solve the following exercise:
To solve the problem of adding the fractions and , we follow these steps:
The sum of and is thus .
Solve the following exercise:
To solve the problem of adding the fractions , we follow these steps:
Let's go through each step in detail:
Step 1: Find the least common denominator for the fractions.
The denominators are 8 and 10. The least common multiple of 8 and 10 is 40. So, the LCD is 40.
Step 2: Convert each fraction to an equivalent fraction with a denominator of 40.
For : Multiply both the numerator and denominator by 5 to convert it:
.
For : Multiply both the numerator and denominator by 4 to convert it:
.
Step 3: Add the two fractions with the common denominator:
.
Thus, the sum of the fractions is .
Therefore, the solution to the problem is .