Page 62 - BUSINESS MATHEMATICS MODULE 1 (WHOLE)_revised 10.20.2020

Lesson 4.C: CONVERSIONS OF FRACTION, DECIMALS, AND PERCENTAGE

• Changing a Percent to a Fraction

To change a percent to a fraction, convert the percent to a decimal then convert the

decimal to fractional form.

Here are some examples to illustrate this rule.

Example 1. 5% = 0.05 = 5 = 1
100 20
1
Example 2. 5 % = 0.055 = 55 = 11
2 1000 200
1
Example 3. 20% = 0.20 = 20 =
100 5
1
Example 4. 225% = 2.25 = 2 25 = 2
100 4
D. Operations with Fractions

Adding and Subtracting Fractions

When adding and subtracting fractions, the first thing to check is if the denominators are

the same.

• Adding and Subtracting Fractions with Like Denominators

If the denominators are the same: just add or subtract the numerators, and write the
result over the same denominator.

±
± =

6
4
Example 1: 2 + = 2+4 =
7 7 7 7
6
3
Example 2: 9 − = 9+6 =
5 5 5 5
• Adding and Subtracting Fractions with Unlike Denominators

If the denominators are not the same, then you have to use equivalent fractions

which do have a common denominator. To do this, you need to find the least common

multiple (LCM) of the two denominators.

5
Example 1: 3 + = 3×3 + 5×4 = 9 + 20 =
4 3 4×3 3×4 12 12
7

6
3
7
Example 2: 7 − = − 3×2 = − =
4 2 4 2×2 4 4
Page | 4.8 BUSINESS MATHEMATICS: MODULE 1