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How to add and subtract fractions

Oh, fractions can be tricky at first but once you get the hang of it, it’s not so bad! The key thing is making sure the denominators (the bottom numbers) are the same. Like, if yo…

Category: calculus Updated: 2026-02-02

Question

How to add and subtract fractions

Solution Steps

  1. Understand the question

    How to add and subtract fractions

  2. Response

    Oh, fractions can be tricky at first but once you get the hang of it, it’s not so bad! The key thing is making sure the denominators (the bottom numbers) are the same.

    Like, if you’re adding 1/4 + 2/4, since the denominators are already 4, you just add the top numbers: 1+2=3, so 3/4. Same with subtraction: 3/5 - 1/5 = 2/5.

    If the denominators are different, you have to find a common denominator first. Let’s say 1/2 + 1/3. The smallest number both 2 and 3 go into is 6. So convert 1/2 to 3/6 (multiply top and bottom by 3) and 1/3 to 2/6 (multiply top and bottom by 2). Then add 3/6 + 2/6 = 5/6. Subtraction works the same way—convert to common denominators first, then subtract the numerators.

    Does that make sense? Want me to walk through a specific example with you?

  3. Final answer

    Oh, fractions can be tricky at first but once you get the hang of it, it’s not so bad! The key thing is making sure the denominators (the bottom numbers) are the same.

    Like, if you’re adding 1/4 + 2/4, since the denominators are already 4, you just add the top numbers: 1+2=3, so 3/4. Same with subtraction: 3/5 - 1/5 = 2/5.

    If the denominators are different, you have to find a common denominator first. Let’s say 1/2 + 1/3. The smallest number both 2 and 3 go into is 6. So convert 1/2 to 3/6 (multiply top and bottom by 3) and 1/3 to 2/6 (multiply top and bottom by 2). Then add 3/6 + 2/6 = 5/6. Subtraction works the same way—convert to common denominators first, then subtract the numerators.

    Does that make sense? Want me to walk through a specific example with you?

Answer

Oh, fractions can be tricky at first but once you get the hang of it, it’s not so bad! The key thing is making sure the denominators (the bottom numbers) are the same.

Like, if you’re adding 1/4 + 2/4, since the denominators are already 4, you just add the top numbers: 1+2=3, so 3/4. Same with subtraction: 3/5 - 1/5 = 2/5.

If the denominators are different, you have to find a common denominator first. Let’s say 1/2 + 1/3. The smallest number both 2 and 3 go into is 6. So convert 1/2 to 3/6 (multiply top and bottom by 3) and 1/3 to 2/6 (multiply top and bottom by 2). Then add 3/6 + 2/6 = 5/6. Subtraction works the same way—convert to common denominators first, then subtract the numerators.

Does that make sense? Want me to walk through a specific example with you?

Question Analysis

Subject mathematics
Sub Subject calculus
Education Level middle school
Difficulty unspecified
Question Type text only
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-02T07:59:57

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How to add and subtract fractions

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