How To Add Mixed Fractions With Unlike Denominators

TL;DR

Learn how to add mixed fractions with different denominators by finding common denominators and adding the fractions together.

Transcript

so let's talk about adding mixed fractions with unlike denominators how can we add five and one-third plus six and two-fifths what is the first thing that we need to do here well what i like to do is i like to rewrite the problem the mixed fraction five and one-third you can write it as the sum of a whole number and a fraction it's basically five p... Read More

Key Insights

• 💦 Rewriting mixed fractions as the sum of a whole number and a fraction helps make them easier to work with.
• 🪜 Finding common denominators is crucial for adding fractions with unlike denominators.
• 🧑‍🏭 Multiplying the fractions by the necessary factors maintains their value while achieving a common denominator.
• 👻 Adding the whole numbers and fractions separately allows for easier computation and simplification of the answer.
• 🍳 Improper fractions should be adjusted by breaking them down into smaller fractions before adding them.
• 😑 The final answer can be expressed as a mixed fraction to accurately represent the sum of the mixed fractions.
• ❓ Practice is important for mastering the addition of mixed fractions with unlike denominators.

Questions & Answers

Q: How do you add mixed fractions with unlike denominators?

To add mixed fractions with different denominators, find the common denominators, multiply the fractions by the necessary factors, add the whole numbers and fractions separately, and then write the final answer as a mixed fraction.

Q: What is the first step in adding mixed fractions?

The first step is to rewrite the mixed fractions as the sum of a whole number and a fraction.

Q: How do you find the common denominators?

To find the common denominators, multiply the denominators of the fractions together.

Q: Why do you multiply the fractions by certain factors?

Multiplying the fractions by certain factors ensures that they have the same denominator, allowing them to be added together.

Summary & Key Takeaways

• To add mixed fractions with unlike denominators, start by rewriting the mixed fractions as the sum of a whole number and a fraction.

• Find the common denominators by multiplying the denominators of the fractions together.

• Multiply each fraction by the necessary factor to achieve the common denominator.

• Add the whole numbers and the fractions separately, then write the final answer as a mixed fraction.