LCM=11×15
=165
9/11=135/165
4/15=44/165
135/165-44/165
=91/165

Solution for Exercise 2.1 Question 4: 9/11 - 4/15

To solve the expression 9/11 - 4/15, we need to find the difference between these two fractions.

Step 1: Finding a common denominator
To subtract fractions, we need to have a common denominator. In this case, the denominators are 11 and 15. We can find a common denominator by finding the least common multiple (LCM) of these two numbers, which is 165.

Step 2: Converting the fractions
Once we have a common denominator, we can convert both fractions to have the same denominator.

- For the fraction 9/11, we multiply both the numerator and denominator by 15 (the common denominator/11) to obtain 135/165.
- For the fraction 4/15, we multiply both the numerator and denominator by 11 (the common denominator/15) to obtain 44/165.

Now both fractions have the same denominator of 165.

Step 3: Subtracting the fractions
Now that we have the fractions with the same denominator, we can subtract them by subtracting their numerators while keeping the denominator the same.

- 135/165 - 44/165 = (135 - 44)/165 = 91/165

Therefore, the answer to the expression 9/11 - 4/15 is 91/165.

Summary:

To solve the expression 9/11 - 4/15, we followed these steps:

1. Find a common denominator by finding the least common multiple (LCM) of the denominators.
2. Convert both fractions to have the same denominator.
3. Subtract the numerators while keeping the denominator the same.

Following these steps, we found that 9/11 - 4/15 equals 91/165.