Complex Fractions

1.How can I apply the concept of real numbers to my daily life?

2.How will the use of the properties of real numbers help in maintaining peace and harmony in the real world?

ESSENTIAL QUESTIONS:

•Apply the different operations on fractions in simplifying complex fractions;•Identify guidelines in simplifying complex fractions;•Show discipline in any undertaking that lead to an orderly way of life.

OBJECTIVES:

Review:

1.

2.

3.

4.

TO DIVIDE

Get the reciprocal of the second number (divisor)

Multiply

STEPS IN DIVIDING FRACTIONSChange Whole numbers and

mixed numbers to improper fractions

Get the reciprocal of the second fraction (the divisor) and multiply

Cancel if you canMultiply numerator by

numerator and denominator by denominator.

EXAMPLE 1:

Solution:

EXAMPLE 2:

Solution: 512

43

EXAMPLE 3:

Solution:

WHAT IS A COMPLEX FRACTION?A complex fraction is fraction with another fraction in the numerator or denominator.

Ex.

5623

2 125

4

113

SO HOW CAN WE SIMPLIFY THEM? Remember, fractions are just division

problems. We can rewrite the complex fraction as a

division problem with two fractions. This division problem then changes to

multiplication by the reciprocal.

5623

56

23

5632

54

EXAMPLE 1:

EXAMPLE 2:

2 125

EXAMPLE 3:

EXAMPLE 4:

EXAMPLE 5:

SEATWORK: SIMPLIFY THE FOLLOWING.(½ CROSSWISE)

1) 2) 3)

Thank you for

listening!