Adding and subtracting fractions

TL;DR

Learn how to add and subtract fractions with the same denominators, different denominators, and mixed numbers in a comprehensive video tutorial.

Transcript

good day welcome to Tech maath Channel what we're going to be having a look at in this video is how to add and subtract fractions uh and there's going to be a couple of different parts of this we're going to start out by having a look at first off adding and subtracting fractions with uh the same denominators that is the same bottom number then we'... Read More

Key Insights

• 🪜 Adding and subtracting fractions with the same denominators is simple: add or subtract the numerators and keep the denominator the same.
• 🪜 When adding or subtracting fractions with different denominators, find a common denominator by multiplying the denominators and convert the fractions accordingly.

Questions & Answers

Q: How do you add fractions with the same denominators?

When adding fractions with the same denominators, you simply add the numerators and keep the denominator the same. For example, 1/8 + 3/8 equals 4/8, which can be simplified to 1/2.

Q: What should you do when adding fractions with different denominators?

To add fractions with different denominators, find a common denominator and convert both fractions to have that denominator. Then, add the numerators and keep the denominator the same. For example, 3/8 + 1/2 can be converted to 6/16 + 8/16, which equals 14/16, and can further be simplified to 7/8.

Q: How do you subtract fractions with different denominators?

When subtracting fractions with different denominators, follow the same steps as adding fractions. Find a common denominator, convert both fractions, and then subtract the numerators while keeping the denominator the same.

Q: How do you add and subtract fractions involving mixed numbers?

To add or subtract fractions involving mixed numbers, first convert the mixed numbers to improper fractions. Then, follow the steps for adding or subtracting fractions with different denominators.

Summary & Key Takeaways

• The video tutorial explains how to add and subtract fractions with the same denominators, such as 1/8 + 3/8, by adding the numerators and keeping the denominator the same.

• It also covers adding and subtracting fractions with different denominators, like 3/8 + 1/2, by finding a common denominator and performing the operations.

• The tutorial concludes with adding and subtracting fractions involving mixed numbers, like 3 2/3 + 3/4, by converting mixed numbers to improper fractions and then following the same steps as before.