Simplifying Complex Fractions and Operations

This video tutorial focuses on simplifying complex fractions. It begins with an introduction to complex fractions, explaining that they are fractions within a larger fraction. The video then provides a detailed example of how to simplify a complex fraction by multiplying the numerator and denominator by the denominator of the smaller fractions. The process is demonstrated step-by-step, showing how to distribute and simplify the terms. After the example, viewers are given a practice problem to solve, with a detailed solution provided. The video aims to help learners understand and apply the method of simplifying complex fractions.

What is a complex fraction?

• A fraction that contains other fractions within its numerator or denominator.

• A fraction that is greater than 1.

• A fraction that is less than 0.

• A fraction with a numerator and denominator that are both integers.

What is the first step in simplifying a complex fraction?

• Subtract the fractions.

• Multiply the numerator and denominator by the denominator of the smaller fractions.

• Add the fractions together.

• Divide the fractions.

In the example (3/4 + 5) / (6 - 1/4), what do you multiply the numerator and denominator by?

• 4

• 5

• 6

• 3

What is the result of multiplying 4 by 3/4 in the first example?

• 1

• 3

• 4

• 5

What is the simplified result of the expression (3/4 + 5) / (6 - 1/4)?

• 3

• 0

• 2

• 1

In the practice example (2/3 + 8) / (5 - 3/4), what is the common denominator used?

• 15

• 12

• 8

• 6

What is the result of multiplying 12 by 2/3 in the practice example?

• 4

• 6

• 8

• 10

What is the product of 12 and 8 in the practice example?

• 108

• 72

• 84

• 96

What is the result of 60 minus 9 in the denominator calculation?

• 55

• 53

• 51

• 49

What is the final simplified result of the practice example (2/3 + 8) / (5 - 3/4)?

• 106/51

• 102/51

• 104/51

• 108/51