# Addition and Subtraction of Fractions

TLDRThe video explains how to add and subtract fractions. First, add fractions with the same denominator by adding the numerators and keeping the denominator. To add fractions with different denominators, find the least common multiple to make equivalent fractions with the same denominator. Then add the numerators. Subtraction follows the same process. Examples are shown, including reducing fractions and dealing with challenging denominators. Viewers are encouraged to practice on their own to gain mastery of fraction addition and subtraction.

###### Takeaways

- π When adding fractions with the same denominator, just add the numerators.
- π To add fractions with different denominators, find the LCM and convert to equivalent fractions.
- π€ When subtracting fractions, follow the same process as addition.
- π Reducing fractions to simplest form makes the process easier.
- π§ Convert fractions to the same denominator by multiplying by the correct equivalent fraction.
- π€ The denominator stays the same when adding/subtracting fractions.
- π Use the LCM of denominators to convert fractions before adding/subtracting.
- π Imagine fractions visually (e.g. slices of pizza) to help understanding.
- π‘ Practice converting fractions to add/subtract them with different denominators.
- π Comprehension checks help reinforce learning and identify areas needing more practice.

###### Q & A

### What are the two key steps to adding or subtracting fractions with different denominators?

-First, find the least common multiple of the denominators. Second, convert both fractions to have that least common multiple as the denominator before adding or subtracting the numerators.

### Why don't we add or subtract the denominators when operating with fractions?

-The denominator represents the magnitude or size of the fractional piece. Adding or subtracting denominators would change the meaning of the fraction.

### How can visualizing fractions as parts of a whole, like slices of pizza, help us understand addition and subtraction?

-Visualizing the fractions lets us see that when we add or subtract, we are just combining or separating the number of fractional pieces, not changing the size of each piece.

### What is the process for subtracting fractions with different denominators?

-First find the LCM, then convert both fractions to have the LCM as denominator, then subtract the numerators.

### Why do we need to find common denominators before adding or subtracting fractions?

-Fractions can only be added or subtracted if they represent parts of the same whole. Finding a common denominator converts them to parts of the same whole.

### What is the importance of reducing fractions to lowest terms after addition and subtraction?

-Reducing to lowest terms simplifies the resulting fraction and makes it easier to interpret the result.

### How can you check your understanding after learning to add and subtract fractions?

-Try working through examples on your own, being sure to find common denominators and reduce where possible. See if your results match worked examples.

### What kinds of denominators work best when first learning to add and subtract fractions?

-Starting with fractions that already have the same denominator is easiest. From there, fractions with small numbers for denominators are best.

### What mistakes are common when first learning fraction addition and subtraction?

-Some common mistakes are trying to add or subtract the denominators, not finding common denominators, and forgetting to reduce to lowest terms.

### How can fraction addition and subtraction skills help in real-world situations?

-Adding fractions helps accurately measure ingredients when cooking and baking. Subtracting fractions aids in calculating discounts and comparisons when shopping.

###### Outlines

##### π Adding and Subtracting Fractions

Explains how to add and subtract fractions with the same denominators by simply adding or subtracting the numerators. Provides the pizza slice analogy. Also explains finding the least common multiple to get fractions with different denominators to have the same denominator before adding or subtracting them.

##### π No Paragraph 2

The provided video script contains only one paragraph, enclosed in the <paragraph1> tag. There is no second paragraph provided.

###### Mindmap

###### Keywords

##### π‘Fraction

##### π‘Numerator

##### π‘Denominator

##### π‘Least Common Multiple

##### π‘Common Denominator

##### π‘Reduce

##### π‘Add/Addition

##### π‘Subtract/Subtraction

##### π‘Multiply/Multiplication

##### π‘Divide/Division

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###### Transcripts

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