Equivalent Fractions and Their Properties

The video tutorial explains the concept of equivalent fractions, which are different fractions representing the same value. It provides examples of converting fractions to equivalent forms by multiplying the numerator and denominator by the same number. The tutorial covers three examples: converting one ninth to three twenty-sevenths, seven sixth to forty-two thirty-sixth, and finding various equivalent fractions for five sixth.

What is an equivalent fraction?

• Fractions that have the same numerator

• Fractions that have the same denominator

• Fractions that represent the same value

• Fractions that are in simplest form

How do you find equivalent fractions?

• Multiply the numerator by the denominator

• Multiply or divide the numerator and denominator by the same non-zero number

• Subtract the same number from the numerator and denominator

• Add the same number to the numerator and denominator

What is the equivalent fraction of one ninth with a denominator of 27?

• One twenty-seventh

• Three twenty-sevenths

• Nine twenty-sevenths

• Twenty-seven twenty-sevenths

To find an equivalent fraction of one ninth with a denominator of 27, by what number should you multiply the numerator and denominator?

• 2

• 5

• 3

• 4

What is the equivalent fraction of seven sixth with a numerator of 42?

• Forty-two sevenths

• Seven forty-seconds

• Forty-two thirty-sixths

• Six thirty-sixths

To find an equivalent fraction of seven sixth with a numerator of 42, by what number should you multiply the numerator and denominator?

• 7

• 8

• 6

• 5

What is one equivalent fraction of five sixth?

• Six fifths

• Ten twelfths

• Five fifths

• Five tenths

Why can't you divide to find equivalent fractions for five sixth?

• Because the fraction is already in simplest form

• Because five is a prime number

• Because six is an even number

• Because five and six have no common factors other than one

If you multiply both the numerator and denominator of five sixth by 3, what is the resulting fraction?

• Fifteen twenty-fourths

• Fifteen eighteenths

• Fifteen sixteenths

• Fifteen twelfths

Which of the following is NOT an equivalent fraction of five sixth?

• Fifteen eighteenths

• Ten twelfths

• Twenty twenty-fourths

• Five fifths