Understanding Fractions and Percentages

This video tutorial covers simplifying complex fractions, finding unit rates, and converting percentages into complex fractions. It explains the process of turning complex fractions into division problems, using reciprocals, and handling mixed numbers. The tutorial includes examples and practice problems to reinforce learning.

What is a complex fraction?

• A fraction where either the numerator or the denominator is a fraction

• A fraction with a whole number as both numerator and denominator

• A fraction with a decimal in the numerator

• A fraction with a negative number in the denominator

What does the line separating the numerator and denominator in a fraction represent?

• Multiplication

• Subtraction

• Addition

• Division

How do you simplify a complex fraction?

• Add the numerator and denominator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Multiply the numerator by the reciprocal of the denominator

What is the first step in simplifying a complex fraction?

• Convert the fraction into a division problem

• Convert the fraction into a multiplication problem

• Subtract the denominator from the numerator

• Add the numerator and denominator

In the practice problem, what is the improper fraction form of one and one third?

• 3/4

• 4/3

• 3/5

• 5/3

What is the result of multiplying 4/3 by the reciprocal of 1/4?

• 16/3

• 12/3

• 4/3

• 8/3

How do you convert a percentage into a complex fraction?

• Divide the percentage by 100

• Place the percentage in the denominator and 100 in the numerator

• Place the percentage in the numerator and 100 in the denominator

• Multiply the percentage by 100

What is the improper fraction form of 33 and one third?

• 98/3

• 101/3

• 99/3

• 100/3

What is the reciprocal of 100?

• 1/100

• 0.01

• 100/1

• 10

What is the final simplified form of 33 and one third percent?

• 1/4

• 1/5

• 1/3

• 1/2