Adding and Simplifying Fractions

This video tutorial explains how to add and subtract fractions by finding a common denominator. It outlines the steps to determine the least common denominator, convert fractions to equivalent forms, and perform the addition or subtraction. The tutorial includes examples demonstrating these steps, showing how to simplify improper fractions and convert them to mixed numbers. The video emphasizes the importance of understanding common denominators and provides multiple methods for simplifying fractions.

Why is it necessary to have a common denominator when adding fractions?

• To ensure the fractions are of the same size

• To make the numerators equal

• To simplify the fractions

• To convert fractions to decimals

What is the first step in adding fractions with different denominators?

• Find the least common denominator

• Add the numerators directly

• Multiply the denominators

• Convert fractions to decimals

How do you simplify a fraction?

• By converting it to a decimal

• By dividing the numerator and denominator by their greatest common factor

• By finding a common denominator

• By adding the numerators

In the example of 5/12 + 2/12, what is the simplified result?

• 2/12

• 5/12

• 1/12

• 7/12

What is an improper fraction?

• A fraction where the numerator is less than the denominator

• A fraction with a common denominator

• A fraction where the numerator is greater than or equal to the denominator

• A fraction that cannot be simplified

How do you convert an improper fraction to a mixed number?

• By dividing the numerator by the denominator

• By adding the numerators

• By subtracting the denominators

• By multiplying the fraction by 2

What is the least common denominator of 1/2 and 2/3?

• 12

• 2

• 3

• 6

In the example of 3/8 + 5/6, what is the least common denominator?

• 8

• 24

• 48

• 6

What is the simplified form of 29/24 as a mixed number?

• 24 and 5/29

• 5 and 1/24

• 1 and 1/24

• 1 and 5/24

What is the result of adding 3/8 and 5/6 after finding a common denominator?

• 5/8

• 3/6

• 8/6

• 29/24