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### Course: 7th grade foundations (Eureka Math/EngageNY)>Unit 1

Lesson 3: Topic C: Foundations

# 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.
• 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.
• I don't get anything not even a bit ugh why is it so hard to understand
• Stop and think for a minute... Could you do the earlier problems that were 1-step multiplication and division equations that had no decimals and no fractions? If yes, then you need to strengthen your knowledge about working with fractions and decimals. You can review the concepts and get more practice using the Arithmetic course.
• im confused why do we have to use x and y not like a and e
• Technically you could use whatever you wanted but x and y don't look like any numbers and that's what people choose to use.
• then how would you do 4=t/2.5 ?
• You have "t divided by 2.5"
Use the opposite operation - multiply both sides by 2.5 to get your answer.
Hope this helps.
• Why we swap the inequality sign when we divide or multiply by a negative?