Page 40 - CalcBus_Flipbook

4-4 Percentages, Ratios and Relationships CH 4]

Any value Any number
divided by multiplied by the
1
(b) 9 / 5 % = 9.2 % = 0.092 itself value of 1 equals
equals 1.
that number.

1
1
1
1
1
9 / 5 % 9 / 5 x % 9 / 5 % 9 / 5 9 / 5
= = x = x 1 = =
100 % 100 x % 100 % 100 100

9 20 / 100 9 . 2
= = 0.092
100 100

Any value
divided by
itself
(c) 60 % = 0.6 equals 1.

60 % 60 x % 60 % 60 60
= = x = x 1 = = 0.60
100 % 100 x % 100 % 100 100

Any number
multiplied by the
value of 1 equals
that number.

Do you notice the effect on these numbers? The % symbol becomes a value of one (1)
and is arithmetically removed (one times any number equals that number), and the decimal
point moves two places to the left.

When fractional percents are converted to decimal form, remember that the fraction is
a portion of 1%, such as 1/2 % is one-half of 1% which are in the thousandths (refer to
Chapter 3, Figure 3-2). Thus as a decimal 1/2% is (1/2 % ÷ 100% =) 0.005.

Example B: Change (a) 1/2%, (b) 3/8%, and (c) 2/3% to decimal fractions.

Solution: (a) 1/2% = 0.5% = 0.005

1/2 % 1/2 x % 1/2 % 1/2 1/2 0.5
= = x = x 1 = = = 0.005
100 % 100 x % 100 % 100 100 100

(b) 3/8% = 0.00375

3/8 % 3/8 x % 3/8 % 3/8 3/8 0.375
= = x = x 1 = = = 0.00375
100 % 100 x % 100 % 100 100 100

(c) 2/3% = 0.0067

2/3 % 2/3 x % 2/3 % 2/3 2/3 0.667
= = x = x 1 = = = 0.0067
100 % 100 x % 100 % 100 100 100

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