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## 6th grade (Illustrative Mathematics)

### Course: 6th grade (Illustrative Mathematics)>Unit 6

Lesson 4: Lesson 4: Practice solving equations and representing situations with equations

# One-step addition & subtraction equations: fractions & decimals

Learn how to solve one-step addition and subtraction equations that have fractions and decimals in them.

## Want to join the conversation?

• This video is good and all, but what if the denominator of the fractions are not the same. Then what do I do then, please explain. Cause I have a problem that doesn't have the same denominator.
• You still move the fraction away from the side with the variable. Then to do the addition/subtraction on the other side, you will need to use the correct steps for adding & subtracting fractions:
1) find a common denominator
2) convert each fraction to the common denominator
3) then, add/subtract the fractions.

If you look at the other questions posted under this video, you will see some examples of problems with different denominators.

Hope this helps.
• distance maybe?
• check again your answer maybe not write though
• Does Sal ever get anything wrong?
• Yes - Sal is human. If you watch the videos in regular mode (not full screen), then you will see correction boxes that pop up to correct content in the video.
• What if the denominators are different like 11/6=n+7/9?

Thank you! :3
• Ill give you one to solve. 35= x/7
• You have "x divided by 7" on the right side. To move the 7, you use the opposite operation to division. You need to multiply both sides by 7.
See if you can finish the problem.
Hope this helps.
• what if there are 2 different denominators?
• I'll keep the explanation brief while hopefully still adequately covering the basics.

So, I'm looking to simplify a problem. The problem is 7/12 + 3/5. These denominators unfortunately do not match, so I cannot add them immediately. I'll have to find a way to make them match. I can do this by multiplying both numbers of the fraction by a number that matches the two. An easy way to do this is to multiply the fractions by each other's denominators, which is guaranteed to work, but not always simplest form. Now, once I do this, I will have 35/60 + 36/60. Now I can add these, and get 71/60, or 1 11/60.

I hope this helps you!
• I'm horrible with fractions sooooo problem because I do not understand them and that's my problem so can you try to explain it a little better please?
• same