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Lesson 4: One-step multiplication and division equations

# One-step multiplication & division equations: fractions & decimals

In this fun math adventure, we tackle equations with fractions and decimals. We learn to balance equations by applying the same operation on both sides, simplifying fractions, and eliminating decimals. It's a step-by-step journey to mastering algebra!

## Want to join the conversation?

• What if it is something like 3/4=5x?
• you would have to turn it into a decimal
• For 4.5/0.5, can't you just multiply the numerator and denominator by 2 to get 9/1 ?
• Yes, that works because dividing by 0.5 is the same as multiplying by 2.
• Are there subtitles for the videos and translations for the articles and exercises for Non-Native english speakers in Khan Academy?
• If you go under your profile (name on top right corner of screen), click on settings, there is a language tab to choose a variety of languages, see if one matches what your most comfortable language is.
• How can you get a negative when dividing a positive number
• You would have to divide/multiply by a negative number. Or the first number is negative. As long as both numbers are not negative (because double negative is positive), the result will be negative.
• wrd2
(1 vote)
• how do you solve a problem like this:"3e = 3/4" how do you solve this?
• You need to get "e" by itself. So, you need to move the 3 from "3e".
"3e" means "3 times e", do you do the opposite of multiplication: divide by 3
3e/3 = 3/4 / 3/1
e = 3/4 * 1/3
e = 1/4
Hope this helps.
• Why we swap the inequality sign when we divide or multiply by a negative?
• Several ways to think about it:
If -x ≥ 3, look at values, if x=3, you have -3≥3 which is false. 0 gives 0 ≥ 3 which is false, even -2 gives -(-2)≥3 which is 2≥3 which is false. When we reach -3, we get -(-3)≥3 which gives 3≥3 which is finally true. The more negative we get, we will always stay true -(-10)≥3 gives 10≥3. So we found that x ≤ -3 as the solution.
Second way to look at it. If - x ≥ 3, we could add x to both sides and subtract 3 to both sides to get -3 ≥ x. Then flipping the equation around, we would have x ≤ -3.
• I don't get it
• me niether
• then how would you do 4=t/2.5 ?