## Tutoring on Introduction to Improper Fractions and Mixed Numbers

Learning Objectives:

#### Understand and Apply Improper Fractions and Mixed Numbers.

Math Tutoring on Introduction to Improper Fractions and Mixed Numbers

There are three types of fractions.

1.    A Proper Fraction is a fraction with a smaller numerator than denominator. Proper Fractions are less than ‘1’.

2.    An Improper Fraction is a fraction in which the numerator is greater or equal to the denominator. Improper Fractions are greater than or equal to ‘1’.

3.    A Mixed Number is a number written as the sum of an integer and a Proper Fraction.

To convert from an Improper Fraction to a Mixed Number:

1.    Divide the numerator by the denominator.

2.    Write down the whole number.

3.    Place any remainder in the quotient over the denominator.

4.    Simplify the fraction if needed.

To convert a Mixed Number into an Improper Function:

1.    Multiply the denominator by the whole number.

2.    Take that product and add that to the numerator of the fraction.

3.    Take that sum and place it over the denominator.

The conversion between Improper Fraction and Mixed Number can be done by the TI-84 Graphing Calculator also.

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Hook Questions:

1.    How many types of fractions are there? Give the definition of each one.

2.    How do you convert an Improper Fraction to a Mixed Number and vice-versa?

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