Adding tenths to hundredths

TL;DR

Learn how to add fractions with different denominators by re-expressing one fraction into equivalent terms.

Transcript

• [Instructor] So what we're going to try to do in this video is add 7/10 to 13/100, pause this video and see if you can figure what that is. Alright so despite being a little bit intimidating at first because we're adding tenths here, 7/10 and we're adding hundredths here 13/100, how do I add a certain number of tenths to a certain number of hundr... Read More

Key Insights

• 😑 Adding fractions with different denominators requires re-expressing one fraction in terms of the other.
• 🗂️ By dividing tenths into hundredths, 7/10 can be converted to 70/100.
• ✖️ Multiplying the numerator and denominator by the same number maintains the fraction's value.
• 🪜 Adding fractions with the same denominator is straightforward; just add the numerators and keep the denominator.
• 🪜 When adding fractions, it is important to ensure they have the same denominator before combining the numerators.
• 🆘 Learning to visualize fractions can help in understanding mathematical concepts.
• 😑 Re-expressing fractions allows for easier comparison and addition.

Questions & Answers

Q: How do you add 7/10 to 13/100 when the fractions have different denominators?

To add fractions with different denominators, re-express 7/10 as 70/100 by dividing each tenth into ten equal sections. Then, add 70/100 to 13/100, resulting in 83/100.

Q: Why is it necessary to re-express fractions when adding?

Re-expressing fractions with different denominators allows us to find a common base for addition. It ensures that both fractions have the same denominator, making addition possible.

Q: Can the numerator and denominator be multiplied by different numbers to re-express a fraction?

No, to maintain the value of a fraction, both the numerator and denominator must be multiplied or divided by the same number. This keeps the fraction equivalent while changing its representation.

Q: Is there a limit to how many fractions can be added using this method?

No, this method of re-expressing fractions can be applied to any number of fractions. Each fraction can be converted to equivalent terms, and then they can be added together.

Summary & Key Takeaways

• Adding fractions with different denominators can be intimidating, but the key is to re-express one fraction in terms of the other fraction's denominator.

• By visually dividing tenths into hundredths, you can convert 7/10 into 70/100.

• Adding 70/100 to 13/100 gives you a total of 83/100.