Converting Fractions, Decimals And Percents Worksheet (Page 4 of 4) in pdf

Converting Fractions, Decimals And Percents Worksheet Page 4

5A. CONVERTING FRACTIONS, DECIMALS, AND PERCENTS

You Try It!

EXAMPLE 6. Change 4/13 to a percent. Round your answer to the nearest

Change 4/17 to a percent.

tenth of a percent.

Round your answer to the

nearest tenth of a percent.

Solution. We will use Technique #1.

To change 4/13 to a decimal, divide

To change the decimal to a percent,

4 by 13. Since the denominator has

move the decimal point two places

factors other than 2’s and 5’s, the

to the right.

decimal will repeat. However, we

0.3076 ≈ 0 30.76% ≈ 30.76%

intend to round to the nearest tenth

of a percent, so we will carry the

To round to the nearest tenth of a

division to four decimal places only.

percent, identify the rounding and

(Four places are necessary because

test digits.

we will be moving the decimal point

two places to the right.)

Test digit

0.3076

30. 7 6 %

13)4.0000

3 9

Rounding digit

100

Because the test digit is greater

than or equal to 5, add 1 to the

rounding digit and truncate. Thus,

Answer: 23.5%

0.03076 ≈ 30.8%.

Converting Fractions, Decimals And Percents Worksheet Page 4