How to subtract fractions with different denominators or even like denominators? We know subtracting fractions can be a little frustrating at times. Anyhow, after this article, you will never face any issue with subtracting fractions. Let’s get right into how to subtract fractions.
How to subtract fractions with different denominators
Let’s take an example,
12 – 18
Step 1: Find Least Common Denominator
Since the denominators are different, we need to rewrite the fractions to make the denominator the same. This is known as Least Common Denominator. To subtract fractions, we must find the LCD. To find Least Common Denominator, we must find the least common multiple of 2 and 8.
Multiple of 2: 2, 4, 6, 8
Multiple of 8: 8, 16, 24, 32
The least common multiple for 12 – 18 is 8.
Step 2: Write an Equivalent fraction
Now you need to write an equivalent fraction for 12, you don’t need to write an equivalent fraction for 18 because 8 is the denominator for this fraction.
To find the denominator multiply the numerator and denominator by 4.
Step 3: Now Rewrite the problem including equivalent fraction
12 – 18 48 – 18
Step 4: Subtract the Numerators
Now that you have got same denominators, subtract the numerators.
48 – 18 38
Step 5: Simplify the sum
In this case, you can not simplify the sum. However, you can make your example and test how much you have learned about How to subtract fractions with different denominators.
How to subtract fractions with different denominators – Explainer Video:
How to subtract fractions with Whole Number
To subtract fractions with whole numbers you must convert the whole number to a fraction with the same denominator as the fraction and solve the problem.
Let’s take an example:
12 – 114
Convert Mixed numbers into improper fractions
12 – 114 121 – 54
48-54 434 1034
Youtube Explainer Video:
How to subtract fractions calculator
Not in the mood to do manual working? No worries, we have a Subtract Fractions App that will help you to subtract fractions without the hassle of gathering a copy and a pencil to solve the problems.
How to subtract fractions with variables
If you have any other method on how to subtract fractions, let us know in the comments section.
Frequently asked questions (FAQs)
How to subtract fractions Calculator?
How to add fractions with different denominators?
Cross-multiply the two fractions and add the results to get the answer’s numerator. Let’s say you wish to sum the fractions 1/3 and 2/5.
To find the answer’s denominator, multiply the two denominators together.