Subtraction of Rational Numbers plays a very important role in various mathematical calculations, here are some steps for subtracting two or more rational numbers:
For subtraction we need to check whether the denominator of the given numbers are same or not
If both the rational numbers have same denominators then we can directly subtract numerators.
Now if the denominators are not same then we just need to equalize the denominator by taking LCM of both the denominator and then we have to subtract the terms.
After taking the LCM of denominators we just need to subtract the numerator terms and simplify the result.
Here are few examples which further help you to understand Subtraction of Ra
Example 1: Subtraction of the rational numbers 3/4 and 2/4.
Solution: In the very first step we will write the rational numbers like 5/4 - 2/4,
Now as we can see the denominators are same, which is equal to 4.
So, in the next step we will directly subtract the numerator and simplify like = (5-2)/4 = 3/4.
Example 2. Subtract the rational numbers 5/2 and 7/6.
Solution: Here the denominators are not same, so first of all we find the common denominator which is 6, the rule for this is we need to multiply the denominator of 1st number to 2nd number and 2nd number to 1st.
Now we divide the common denominator 6 by each denominator and multiply the result by each numerator respectively like:
5×3/6 - 7×1/6
Now we subtract the numerators and obtain the result
15/6 - 7/6 = 8/6 this is our answer.
So friends, from today’s class you will able to subtract two or more rational numbers together.