Page 276 - Math Smart - 7

To express a fraction as a percentage, multiply the fraction by 100%.

Example 4

Express ^ as a percentage.
100% = j^ =
1
Solution
So, multiplying by 100%
^ = ^ X 100%
is the same as multiplying
by 1. = 12%
On a calculator, enter the fraction, press Enter: (T) [T] fT] fT] fTI
the % key and then press the equal sign.
or (I]@(I][I]@II](=)
The display gives the answer 12 or 12%.

Check My

Understanding

Express each percentage as a fraction in its simplest form,
To express .v% as a
a) 29% b) 67% c) 80%
fraction, divide a- by
d) 65% e) 12% f) 4%
100.
To express a fraction as Express each fraction as a percentage.
a percentage, multiply 73 24
100 b) 100 50
by 100%.
18 16
d) e) I
25 f) 20

12.1.3 Converting between

percentages and decimals

To convert between percentages and decimals, write the percentage as a fraction
with a denominator of 100 and then divide.

Example 5

Express the percentages as decimals,
a) 64% b) 7%

Solution
a)
= Wo
= 0.64
On a calculator enter the percentage using the Enter:
% key, and then press the equal sign to the
= S«D
fraction to a decimal.
The display gives the answer 0.64.

b)

= 0.07

B UNIT 12 I Percentages