# Subtracting fractions with common denominators

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Fractions are very commonly used in most of the branches in math. A fraction number if on the form “p/q”. Where ‘p’ is the numerator and 'q' is the denominator. The denominator of a fraction cannot be equal to zero i.e. q ≠ 0. There are different mathematical operations to simplify and solve the fractions such as addition, subtraction, multiplication and division. While subtracting fractions there should be a common denominator. Here are some examples for subtracting fractions with a common denominator:

Example 1: Simplify and find the answer by adding the given fraction numbers 9/7 - 4/7 - 1/7?
Solution: The first step is to check the denominator of the given fractions. We have a common denominator of 7 for all three fractions.
Since the denominator of the fractions is same, subtract the numerators of the given fractions.
This gives 9/7 - 4/7 - 1/7 = (9 - 4 - 1) /7 = 4/7.
Therefore, the answer for 9/7 - 4/7 - 1/7 = 4/7.

Question: Multiple choice question (Pick the correct option.)
What is the answer for subtracting the two fractions 9/5 - 4/5?
a)    3/5       b) 1                 c) 6/5              d) None of these.
Correct answer: option b.
Here the fractions 9/5 and 4/5 have the same denominator 5. Since we have the common denominator we can subtract the numerators.
This gives 9/5 – 4/5 = (9 - 4) /5 = 5/5.
The fraction 5/5 can be further simplified. Hence the solution is 5/5 = 1.