Comparing and Ordering Fractions Effectively

This video tutorial explains how to order fractions from least to greatest by finding a common denominator. It covers methods to find the least common denominator, including using prime factorization, and demonstrates how to calculate the least common multiple. The tutorial then shows how to rewrite fractions with a common denominator and order them by comparing numerators.

Why is it important to find a common denominator when comparing fractions?

• It changes the value of the fractions.

• It allows for direct comparison of the fractions.

• It makes the fractions easier to add.

• It simplifies the fractions.

Which method is suggested for finding the least common multiple (LCM) in the video?

• Using a calculator.

• Adding the fractions.

• Guessing the multiples.

• Prime factorization.

What is the prime factorization of 9?

• 5 x 1

• 2 x 2

• 3 x 3

• 3 x 5

What is the least common multiple (LCM) of the denominators 9, 4, 5, 12, and 15?

• 90

• 180

• 120

• 150

To convert 4/9 to a fraction with a denominator of 180, what should you multiply the numerator and denominator by?

• 30

• 15

• 20

• 25

What is 3/4 converted to a fraction with a denominator of 180?

• 120/180

• 135/180

• 165/180

• 150/180

What is the numerator of 4/5 when converted to a fraction with a denominator of 180?

• 156

• 120

• 135

• 144

What is 11/12 converted to a fraction with a denominator of 180?

• 165/180

• 150/180

• 180/180

• 175/180

Which fraction is the smallest when all are converted to have a denominator of 180?

• 11/12

• 4/5

• 3/4

• 4/9

What is the correct order of the fractions from least to greatest?

• 4/9, 4/5, 3/4, 11/12, 13/15

• 3/4, 4/9, 4/5, 11/12, 13/15

• 4/9, 3/4, 4/5, 11/12, 13/15

• 4/9, 3/4, 4/5, 13/15, 11/12