Understanding Complex Fractions and Operations

This video tutorial covers the simplification of complex fractions, which are fractions with numerators and/or denominators that are also fractions. The tutorial provides two examples: the first involves simplifying 5/8 divided by 3/4 by multiplying by the reciprocal, and the second involves simplifying a complex fraction with addition and subtraction in the numerator and denominator. The video emphasizes the importance of finding common denominators and simplifying before multiplying. The tutorial concludes with a preview of future examples involving variables.

What is a complex fraction?

• A fraction with a variable

• A fraction with a decimal

• A fraction with a fraction in the numerator or denominator

• A fraction with a whole number numerator

How can you rewrite a complex fraction?

• As a division problem

• As an addition problem

• As a multiplication problem

• As a subtraction problem

What is the reciprocal of 3/4?

• 1/4

• 1/3

• 3/4

• 4/3

What is the simplified form of 5/8 divided by 3/4?

• 3/5

• 6/5

• 5/6

• 8/5

What is the least common denominator of 2/3 and 1/2?

• 6

• 12

• 2

• 3

What operation is performed first in the second complex fraction?

• Division

• Addition and Subtraction

• Simplification

• Multiplication

What is the equivalent of 2/3 + 1/2 with a common denominator?

• 2/6 + 1/6

• 3/6 + 2/6

• 4/6 + 3/6

• 5/6

What is the simplified form of 9/12 - 1/12?

• 8/12

• 6/12

• 7/12

• 1/12

What is the reciprocal of 2/3?

• 1/3

• 3/2

• 2/3

• 1/2

What is the simplified form of 7/6 divided by 2/3?

• 3/2

• 4/7

• 6/7

• 7/4