Solve the following exercise:
Solve the following exercise:
\( \frac{1}{2}+\frac{2}{9}= \)
Solve the following exercise:
\( \frac{1}{4}+\frac{1}{9}= \)
Solve the following exercise:
\( \frac{1}{4}+\frac{2}{6}= \)
Solve the following exercise:
\( \frac{1}{5}+\frac{1}{3}= \)
Solve the following exercise:
\( \frac{1}{7}+\frac{1}{3}= \)
Solve the following exercise:
Let's try to find the lowest common denominator between 2 and 9
To find the lowest common denominator, we need to find a number that is divisible by both 2 and 9
In this case, the common denominator is 18
Now we'll multiply each fraction by the appropriate number to reach the denominator 18
We'll multiply the first fraction by 9
We'll multiply the second fraction by 2
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 4 and 9
To find the lowest common denominator, we need to find a number that is divisible by both 4 and 9
In this case, the common denominator is 36
Now we'll multiply each fraction by the appropriate number to reach the denominator 36
We'll multiply the first fraction by 9
We'll multiply the second fraction by 4
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 4 and 6
To find the lowest common denominator, we need to find a number that is divisible by both 4 and 6
In this case, the common denominator is 12
Now we'll multiply each fraction by the appropriate number to reach the denominator 12
We'll multiply the first fraction by 3
We'll multiply the second fraction by 2
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 3
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 3
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
We'll multiply the first fraction by 3
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 7 and 3
To find the lowest common denominator, we need to find a number that is divisible by both 7 and 3
In this case, the common denominator is 21
Now we'll multiply each fraction by the appropriate number to reach the denominator 21
We'll multiply the first fraction by 3
We'll multiply the second fraction by 7
Now we'll combine and get:
Solve the following exercise:
\( \frac{2}{10}+\frac{1}{3}= \)
Solve the following exercise:
\( \frac{2}{5}+\frac{1}{3}= \)
Solve the following exercise:
\( \frac{2}{5}+\frac{1}{6}= \)
Solve the following exercise:
\( \frac{2}{5}+\frac{3}{6}= \)
Solve the following exercise:
\( \frac{3}{8}+\frac{2}{3}= \)
Solve the following exercise:
Let's try to find the least common denominator between 10 and 3
To find the least common denominator, we need to find a number that is divisible by both 10 and 3
In this case, the common denominator is 30
Now we'll multiply each fraction by the appropriate number to reach the denominator 30
We'll multiply the first fraction by 3
We'll multiply the second fraction by 10
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 3
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 3
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
We'll multiply the first fraction by 3
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 6
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 6
In this case, the common denominator is 30
Now we'll multiply each fraction by the appropriate number to reach the denominator 30
We'll multiply the first fraction by 6
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 6
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 6
In this case, the common denominator is 30
Now we'll multiply each fraction by the appropriate number to reach the denominator 30
We'll multiply the first fraction by 6
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the least common multiple (LCM) between 8 and 3
To find the least common multiple, we need to find a number that is divisible by both 8 and 3
In this case, the common multiple is 24
Now we'll multiply each fraction by the appropriate number to reach the denominator 24
We'll multiply the first fraction by 3
We'll multiply the second fraction by 8
Now we'll combine and get:
Solve the following exercise:
\( \frac{2}{5}+\frac{1}{3}= \)
Solve the following exercise:
\( \frac{2}{5}+\frac{1}{4}= \)
Solve the following exercise:
\( \frac{2}{8}+\frac{2}{3}= \)
Solve the following exercise:
\( \frac{1}{10}+\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{1}{2}+\frac{1}{9}=\text{?} \)
Solve the following exercise:
Let's try to find the least common denominator between 5 and 3
To find the least common denominator, we need to find a number that is divisible by both 5 and 3
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
We'll multiply the first fraction by 3
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 4
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 4
In this case, the common denominator is 20
Now we'll multiply each fraction by the appropriate number to reach the denominator 20
We'll multiply the first fraction by 4
We'll multiply the second fraction by 5
Now we'll combine and get:
Solve the following exercise:
Let's try to find the least common multiple (LCM) between 8 and 3
To find the least common multiple, we need to find a number that is divisible by both 8 and 3
In this case, the common multiple is 24
Now we'll multiply each fraction by the appropriate number to reach the denominator 24
We'll multiply the first fraction by 3
We'll multiply the second fraction by 8
Now we'll combine and get:
Solve the following exercise:
To solve the addition of fractions , we must first find a common denominator.
Step 1: Find the Least Common Multiple (LCM) of the denominators, 10 and 3. By multiplying these denominators, the LCM is .
Step 2: Rewrite each fraction with the common denominator of 30:
- Convert to an equivalent fraction with a denominator of 30. Multiply both numerator and denominator by 3:
- Convert to an equivalent fraction with a denominator of 30. Multiply both numerator and denominator by 10:
Step 3: Add the equivalent fractions:
Step 4: Simplify the resulting fraction. Since 13 is a prime number and does not divide 30, is already in its simplest form.
Thus, the sum of and is .
The correct answer is , which corresponds to choice 4.
Solve the following exercise:
To solve this problem, we will add the fractions and by finding a common denominator.
Thus, the sum of the fractions and is .
Solve the following exercise:
\( \frac{1}{2}+\frac{2}{5}=\text{?} \)
Solve the following exercise:
\( \frac{1}{2}+\frac{2}{7}=\text{?} \)
Solve the following exercise:
\( \frac{1}{3}+\frac{2}{4}=\text{?} \)
Solve the following exercise:
\( \frac{1}{4}+\frac{3}{6}=\text{?} \)
Solve the following exercise:
\( \frac{1}{4}+\frac{3}{9}=\text{?} \)
Solve the following exercise:
To solve the problem of adding the fractions and , we will follow these steps:
Now, let’s explore each step in detail:
Step 1: The denominators are 2 and 5. A common denominator can be found by multiplying these two numbers: . Therefore, 10 is our common denominator.
Step 2: Convert each fraction to have the common denominator of 10.
- For , multiply both the numerator and the denominator by 5:
.
- For , multiply both the numerator and the denominator by 2:
.
Step 3: Add the fractions and :
Combine the numerators while keeping the common denominator:
.
Thus, .
Therefore, the sum of and is .
Solve the following exercise:
To solve the given problem of adding two fractions and , follow these steps:
The denominators of the fractions are and . Multiply these two numbers to find the common denominator: .
Convert to an equivalent fraction with a denominator of :
Convert to an equivalent fraction with a denominator of :
Now that both fractions have a common denominator, add them:
We have successfully added the fractions and obtained the result.
Therefore, the solution to the problem is .
Solve the following exercise:
To solve this problem, let's follow these steps:
Step 1: Simplify . It simplifies to .
Step 2: The denominators are now 3 and 2. Find the least common multiple of 3 and 2, which is 6.
Step 3: Convert each fraction to have the common denominator of 6:
Step 4: Add the fractions:
Step 5: The fraction is already in its simplest form.
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the problem of adding and , we need to find their sum using a common denominator.
Step 1: Identify the Least Common Denominator (LCD)
The denominators of the fractions are 4 and 6. The LCM of 4 and 6, which will be the least common denominator, is 12.
Step 2: Convert each fraction to an equivalent fraction with the denominator of 12.
For : Multiply the numerator and denominator by 3 to get .
For : Multiply the numerator and denominator by 2 to get .
Step 3: Add the fractions .
Step 4: Simplify the resulting fraction if necessary.
In this case, can be simplified. The greatest common divisor of 9 and 12 is 3, so .
Therefore, the sum of is , but in the context of the provided answer choices, we are looking for initially, which does match the simplified result before reducing.
The correct answer is therefore , which corresponds to Choice 3.
Solve the following exercise:
To solve the problem of adding the fractions and , we will first find a common denominator and then perform the addition:
Step 1: Finding a Common Denominator
The denominators are 4 and 9. The easiest way to find a common denominator is to multiply these two numbers. Hence, gives us a common denominator of 36.
Step 2: Convert Each Fraction
Convert to a fraction with denominator 36. To do this, multiply the numerator and denominator by 9 (since ):
Next, convert to a fraction with denominator 36. Multiply the numerator and denominator by 4 (since ):
Step 3: Add the Fractions
Now add the two fractions:
Step 4: Simplify the Result (if necessary)
The fraction can be simplified by finding the greatest common divisor (GCD) of 21 and 36, which is 3. However, in the current situation with the answer choices provided, matches one of the options directly without further simplification, ensuring it meets the expected answer format.
Therefore, the sum of is , which corresponds to choice .
Thus, the correct answer is .