Step-By-Step-Math: Adding Fractions with Unlike Denominators: 2/3 + 3/4
Adding Fractions with Unlike Denominators: 2/3 + 3/4 | Step by Step Math Tutorial
Learning Target: I can add fractions with unlike denominators
What You'll Learn
- Find the least common denominator
- Create equivalent fractions
- Add numerators and simplify
Key Terms
fraction, numerator, denominator, least common denominator, equivalent fraction, simplify
Standards Alignment
- CCSS.MATH.CONTENT.5.NF.A.1: Add and subtract fractions with unlike denominators
Math Practices
- MP1: Make sense of problems and persevere in solving them
- MP6: Attend to precision
- MP7: Look for and make use of structure
Chapters
- 0:00 How do you add fractions with different denominators?
- 0:08 What is the least common denominator of 3 and 4?
- 0:16 How do you convert 2/3 to twelfths?
- 0:24 How do you convert 3/4 to twelfths?
- 0:32 How do you add fractions with the same denominator?
- 0:40 How do you convert 17/12 to a mixed number?
- 0:48 Verification of the solution
- 0:56 Conclusion and sign off
▶ Click to Read Full Transcript
[00:00] Let's add two fractions with different denominators step by step. We need to find two thirds plus three fourths. Always feel free to pause the video and try it on your own.
[00:12] The denominators are 3 and 4. To add fractions, we need the same denominator. The least common denominator is the smallest number that both 3 and 4 divide into evenly. That's 12.
[00:26] Convert two thirds to twelfths. We multiply numerator and denominator by 4, because 3 times 4 equals 12. Two times 4 equals 8, so two thirds equals eight twelfths.
[00:40] Convert three fourths to twelfths. We multiply numerator and denominator by 3, because 4 times 3 equals 12. Three times 3 equals 9, so three fourths equals nine twelfths.
[00:55] Now both fractions have the same denominator, so we can add them. Add the numerators: 8 plus 9 equals 17. Keep the denominator 12. So we get seventeen twelfths.
[01:09] Seventeen twelfths is an improper fraction because the numerator is larger than the denominator. To convert to a mixed number, divide 17 by 12. 12 goes into 17 one time with 5 left over. So that's one and five twelfths.
[01:26] Let's check our answer: One whole is twelve twelfths, plus five twelfths gives us seventeen twelfths. That's exactly what we got when we added the fractions. Our answer is correct.
[01:39] I hope you found this helpful along your journey to discovering the joy in mathematics. This has been Mister Marx AI. Until next time, keep up the good work!
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