Page 60 - BUSINESS MATHEMATICS MODULE 1 (WHOLE)_revised 10.20.2020

Lesson 4.B: TYPE OF FRACTIONS

• Changing Fractions to Higher Terms
To change a fraction to higher terms, multiply both numerator and denominator by the

same number.
3
Example 1: Change the fraction to an equivalent fraction having a denominator of 16.
4

3 ?
Solution: =
4 16
16 ÷ 4 = 4; We can then multiply the numerator and denominator by 4,

3×4 12
thus, =
4×4 16

7
Example 2: Change to an equivalent fraction having a denominator of 54.
9
7 ?
Solution: =
9 54
54 ÷ 9 = 6; We can then multiply both the numerator and the denominator
7×6 42
by 6, thus, =
9×6 54
As we know, the value of a fraction is not changed by multiplying both the numerator

and denominator by the same number.

C. Conversions of Fractions, Decimals, and Percentages

• Changing Fractions to Decimals
To change a fraction to a decimal, divide the numerator by the denominator and carry

the division until the remainder is zero, or as required for rounding

Here are some examples to illustrate this point.

6
1
Example 1. Express as decimal Example 2. Convert to decimals
4 7
0.25 0.857
1 Solution: 7 6.000
Solution: 4 = 1 ÷ 4 = 4 1.00
08 5.60

0.20 0.40
0.20 0.35
The answer is 0.25 0.00 50
49
01
The answer is 0.857 (Rounded to three decimal places)

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