Understanding Fractions with Different Denominators

This video tutorial explains how to add fractions without a common denominator. It begins by identifying the need for a common denominator and demonstrates finding the least common multiple (LCM) of different denominators. The tutorial then shows how to adjust fractions to have a common denominator and add them. Two examples are provided: one with denominators 8 and 5, and another with 3 and 4. The video concludes with converting an improper fraction to a mixed number.

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

• To make the numerators equal

• To simplify the fractions

• To ensure the fractions have the same base for addition

• To convert fractions into whole numbers

What is the first step in finding a common denominator for two fractions?

• Add the numerators

• Find the least common multiple of the denominators

• Subtract the numerators

• Multiply the denominators

What is the least common multiple of 8 and 5?

• 20

• 30

• 40

• 50

How do you convert 3/8 to have a denominator of 40?

• Multiply both numerator and denominator by 5

• Multiply both numerator and denominator by 8

• Multiply both numerator and denominator by 10

• Multiply both numerator and denominator by 4

What is the result of adding 15/40 and 24/40?

• 40/40

• 39/40

• 1 1/40

• 2/40

What is the purpose of multiplying the numerator and denominator by the same number?

• To keep the fraction's value the same while changing its form

• To make the fraction improper

• To change the value of the fraction

• To simplify the fraction

What is the least common multiple of 3 and 4?

• 10

• 6

• 8

• 12

How do you convert 2/3 to have a denominator of 12?

• Multiply both numerator and denominator by 5

• Multiply both numerator and denominator by 3

• Multiply both numerator and denominator by 6

• Multiply both numerator and denominator by 4

What is the result of adding 8/12 and 9/12?

• 17/12

• 1 5/12

• 12/12

• 2/12

How do you express 17/12 as a mixed number?

• 2 5/12

• 2 1/12

• 1 5/12

• 1 1/12