Solve the following exercise:
Solve the following exercise:
\( \frac{1}{3}-\frac{1}{5}=\text{?} \)
Solve the following exercise:
\( \frac{3}{7}-\frac{1}{6}=\text{?} \)
Solve the following exercise:
\( \frac{2}{4}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{3}{5}-\frac{1}{2}=\text{?} \)
Solve the following exercise:
\( \frac{3}{5}-\frac{1}{4}=\text{?} \)
Solve the following exercise:
To solve the problem , we follow these steps:
First, we need to find a common denominator for the fractions and . The denominators are 3 and 5, and their least common multiple (LCM) is 15.
We will convert each fraction to an equivalent fraction with the denominator 15:
Now that both fractions have the same denominator, we can subtract the numerators:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the subtraction problem , we need to follow these steps:
Therefore, the solution to the problem is .
Among the provided choices, the correct answer is: .
Solve the following exercise:
To solve this problem, we'll follow these steps:
Now, let's work through these steps:
Step 1: The denominators are and . The common denominator is the product .
Step 2: Convert each fraction:
Step 3: Subtract the fractions with a common denominator:
Finally, simplify . The greatest common divisor of 2 and 12 is 2, so:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the subtraction of fractions , we will follow these steps:
Now, let's work through each step in detail:
Step 1: The LCM of 5 and 2 is 10, since 10 is the smallest number that both 5 and 2 divide into evenly.
Step 2: Convert each fraction to have a denominator of 10.
For :
Multiply numerator and denominator by 2 to get .
For :
Multiply numerator and denominator by 5 to get .
Step 3: Subtract the fractions:
.
Step 4: There is no further simplification needed for as it is already in its simplest form.
Therefore, the solution to the problem is .
The correct answer, choice (4), is .
Solve the following exercise:
To solve the problem of subtracting from , we need a common denominator.
First, find the least common denominator (LCD) of 5 and 4, which is 20. This is done by multiplying the denominators: .
Next, convert each fraction to an equivalent fraction with the denominator of 20:
Now perform the subtraction with these equivalent fractions:
The resulting fraction, , is already in its simplest form.
Therefore, the solution to the subtraction is .
Checking against the multiple-choice answers, the correct choice is the first one: .
Solve the following exercise:
\( \frac{1}{2}-\frac{2}{7}=\text{?} \)
Solve the following exercise:
\( \frac{3}{8}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{2}{5}-\frac{2}{6}=\text{?} \)
Solve the following exercise:
\( \frac{3}{7}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{3}{4}-\frac{3}{9}=\text{?} \)
Solve the following exercise:
To solve the given problem , we need to follow these steps:
Thus, the solution to the problem is .
Solve the following exercise:
To solve the problem of subtracting from , follow these steps:
Step 1: Identify the denominators of the fractions, which are 8 and 3, respectively. The least common denominator (LCD) is the product of these two denominators, as they have no common factors. Thus, the LCD is .
Step 2: Convert each fraction to an equivalent form with the common denominator 24.
Step 3: Subtract the numerators of these equivalent fractions, maintaining the common denominator:
.
Therefore, the solution to is .
Solve the following exercise:
To solve this problem, we'll walk through these steps:
Now, let's work through each step:
Step 1: Determine the least common denominator (LCD).
The denominators are 5 and 6. Since there is no common factor, the LCD is .
Step 2: Convert each fraction to an equivalent fraction with the LCD.
For , multiply numerator and denominator by 6 to get .
For , multiply numerator and denominator by 5 to get .
Step 3: Subtract the fractions with the same denominator.
.
Step 4: Simplify the resulting fraction.
can be simplified by dividing numerator and denominator by their greatest common divisor, which is 2.
Thus, .
Therefore, the solution to the problem is .
Solve the following exercise:
To solve this problem, we'll follow these steps:
Let's perform each of these steps:
Step 1: We have the fractions and .
Step 2: Find a common denominator. The denominators are 7 and 3, so the common denominator will be .
Step 3: Convert each fraction:
Step 4: Subtract the numerators:
.
Simplify if necessary: Here, is already in its simplest form.
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 of the fractions are 4 and 9. The least common multiple of 4 and 9 is 36. Therefore, 36 will be our common denominator.
Step 2: Convert and to have a denominator of 36:
and
Step 3: Now, subtract the fractions:
Step 4: Simplify :
Both 15 and 36 can be divided by their greatest common divisor, which is 3. Dividing both the numerator and denominator by 3, we get:
Therefore, the solution to the problem is .
Solve the following exercise:
\( \frac{4}{5}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{3}{5}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
\( \frac{3}{4}-\frac{3}{6}=\text{?} \)
Solve the following exercise:
\( \frac{1}{2}-\frac{1}{9}=\text{?} \)
Solve the following exercise:
\( \frac{6}{10}-\frac{1}{3}=\text{?} \)
Solve the following exercise:
To solve the subtraction of these two fractions, we'll follow these steps:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve the subtraction of fractions , follow these steps:
Thus, the solution to the problem is .
Solve the following exercise:
To solve the subtraction of these two fractions, we follow these steps:
Therefore, the solution to the problem is .
Solve the following exercise:
To solve , follow these steps:
Step 1: Find the least common multiple (LCM) of the denominators 2 and 9.
The multiples of 2 are
The multiples of 9 are
The smallest common multiple is 18. Thus, the LCM of 2 and 9 is 18.
Step 2: Convert each fraction to an equivalent fraction with the common denominator 18.
For , the equivalent fraction with 18 as the denominator is calculated by finding the factor needed:
.
For , the equivalent fraction with 18 as the denominator is:
.
Step 3: Perform the subtraction of these equivalent fractions.
.
Therefore, the solution to the problem is .
Solve the following exercise:
To solve , we need to perform the following steps:
Therefore, the result of the subtraction is .