Page 58 - BUSINESS MATHEMATICS MODULE 1 (WHOLE)_revised 10.20.2020

Lesson 4.B: TYPE OF FRACTIONS

Two Fundamental Rules

When we are working with fractions, we have to remember the following rules:

1. The value of a fraction is not changed by multiplying both the numerator and
denominator by the same number.
1 2 2 1
Example 1: × = =
3 2 6 3

2 3 6 2
Example 2: × = =
5 3 15 5

2. The value of a fraction is not changed by dividing both the numerator and the
denominator by the same number.

4
4 2 4 2
Example l: = 2 = therefore, =
6
6 3 6 3
2
3
3 1 1 3 3
Example 2: = 3 = = × =
4 4 4 1 4 4
3 3

• Changing Improper Fractions to Whole or Mixed Numbers

To change an improper fraction to a whole or mixed number, divide the numerator by
the denominator.

If there is no remainder, the quotient becomes the answer.

If there is a remainder, such remainder becomes the numerator in the answer. The

divisor or original denominator is retained in the answer, while the quotient becomes the whole
number part of the mixed number.

86
72
Example 1: Change to a whole or mixed number. Example 2: Change
6 5

12 whole number 17 whole number
denominator 6 | 72 denominator 5 | 86

6 5
12 36
12 35
0 no remainder 1 remainder

1
Final Answer = 12 Final Answer = 17
5

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