How To Add Three Mixed Numbers by Converting to Improper Fractions

TL;DR

Learn how to add mixed numbers by converting them into fractions, finding a common denominator, and simplifying the sum.

Transcript

hi in this video we're going to add these mixed numbers so let's just go ahead and jump into it so one way to do this problem is to First convert these into numbers that are not mixed numbers so just fractions so to do that we're going to do it as follows two times three is six six plus one is seven so this becomes seven over two again two times th... Read More

Key Insights

• #️⃣ Converting mixed numbers to fractions involves multiplying the whole number by the denominator and adding the numerator.
• 🗂️ To add fractions, a common denominator is crucial. Find a number that can be divided evenly by the existing denominators.
• 👻 Multiplying fractions by a number over itself, such as 6/6 or 3/3, allows for the creation of equivalent fractions with the desired denominator.
• 💦 Using a calculator can simplify the addition process, but manually adding the fractions and checking the work is essential for verification.

Questions & Answers

Q: How do you convert mixed numbers into fractions?

To convert a mixed number into a fraction, multiply the whole number by the denominator and add the numerator. Place the result over the denominator. Example: For 2 3/4, multiply 2 by 4 (8) and add the numerator (3). The fraction becomes 11/4.

Q: Why is it important to find a common denominator when adding fractions?

Adding fractions with different denominators requires finding a common denominator to ensure accuracy in the sum. This allows for proper alignment and simplification of the fractions. Example: For 7/2 + 25/6 + 15/4, the common denominator is 12.

Q: How do you find the common denominator for multiple fractions?

To find the common denominator, identify a number that each denominator can evenly divide. In this case, the common denominator is 12 because it is divisible by 2, 4, and 6. Example: To make 7/2 a fraction with a denominator of 12, multiply it by 6/6.

Q: What is the difference between an improper fraction and a mixed number?

An improper fraction has a numerator greater than or equal to the denominator, while a mixed number consists of a whole number and a proper fraction. Improper fractions can be converted to mixed numbers by finding the whole number and the remainder. Example: 137/12 can be written as 11 5/12.

Summary & Key Takeaways

• The video demonstrates how to convert mixed numbers into fractions and then add them together.

• It explains the process of finding a common denominator and multiplying each fraction accordingly.

• The video provides an example of adding mixed numbers with large values and shows how to check the answer.