Equivalent Fractions and Operations

The video tutorial explains how to create equivalent fractions by multiplying or dividing both the numerator and denominator by the same number. It provides four examples: converting one-half to fifteen-thirtieths, fourteen-sixteenths to seven-eighths, four-sevenths to twenty-eight forty-ninths, and twenty-seven forty-fifths to three-fifths. Each example demonstrates the process of finding a common factor or multiple to adjust the fractions while maintaining their value.

What is the main concept behind creating equivalent fractions?

• Changing only the denominator

• Subtracting the same number from both the numerator and denominator

• Adding the same number to both the numerator and denominator

• Multiplying or dividing both the numerator and denominator by the same number

To create an equivalent fraction for one-half with a denominator of thirty, what should you multiply the numerator by?

• 20

• 15

• 30

• 10

If you have the fraction fourteen-sixteenths, what operation would you perform to get a denominator of eight?

• Multiply by 2

• Divide by 2

• Add 8

• Subtract 8

What is the equivalent fraction of fourteen-sixteenths with a denominator of eight?

• Seven-eighths

• Fourteen-fourths

• Fourteen-eighths

• Seven-sixteenths

For the fraction four-sevenths, what should you multiply the numerator by to get a denominator of forty-nine?

• 8

• 7

• 6

• 5

What is the equivalent fraction of four-sevenths with a denominator of forty-nine?

• Twenty-eight forty-ninths

• Four-sevenths

• Four forty-ninths

• Twenty-eight sevenths

To convert twenty-seven forty-fifths to a fraction with a denominator of five, what should you divide the numerator by?

• 3

• 9

• 15

• 5

What is the equivalent fraction of twenty-seven forty-fifths with a denominator of five?

• Five-fifths

• Twenty-seven-fifths

• Three-fifths

• Nine-fifths