Fractions Decimals Percents

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1 1 Fractions Decimals Percents Name TAG

2 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long division to divide the numerator by the denominator.. Use a calculator to divide the numerator by the denominator. I. Using Place Value Ex. Ex. six tenths decimal 0. four hundredths decimal Ex. 0 three and two thousandths decimal.002 Ex. seventy-six tenths decimal. (which, if you convert it to a mixed number, is the same as saying seven and six tenths.) Practice: Change the following fractions to decimals using place value

3 II. Using Equivalent Fractions and Place Value When the denominator of a fraction is not a power of (,, 0, etc), another method must be used. Try changing the fraction into an equivalent fraction that has a denominator of,, 0, etc. Ex. (find an equivalent fraction) decimal 0. Practice (Convert to an equivalent fraction and then to a decimal)

4

5 III. Using Long Division Dividend (this number goes on the inside of the division sign) Divisor (this number goes on the outside of the division sign) Answer Repeating decimal 1 Round to nearest hundredth Answer

6 IV. Using a calculator Ex With the calculator, put in Decimal (round to nearest hundredth) 0. Ex. 2 This means more than 2. Enter: ( ) + 2 Decimal 2. You could also do this by converting the mixed number to an improper fraction Enter: 11 Decimal 2. Practice: Use the calculator to convert the following fractions to decimals. Round all answers to the hundredths place or express as a repeating decimal (as seen on calculator) (rounded to nearest hundredths) 2. 2 (as seen on calculator) (expressed as a repeating decimal). 1 (as seen on calculator) (expressed as a repeating decimal). 1 (as seen on calculator) (rounded to nearest hundredths)

7 Decimal to Fractions I. Using place value Say the decimal and use place value to determine the number of the denominator. Ex.. (five and three tenths) fraction Ex (four thousandths) fraction (make sure it is in simplest terms; divide by the GCF) 2 1 Ex. 1.2 (one and twenty-five hundredths) fraction 1 1 Practice: Convert all decimals to fractions in their simplest forms. 1). 2) 0.11 ) 0.02 ) 2.00 ) 0. ).2 ) 0.00 ).01 ) 0.01 ) ) ) 1.1 1) 2. 1) ) 0.1 1). 1).2 1) 0.00

8 II. Repeating Decimals to Fractions **Any decimal number with a single repeating digit after the decimal point can be converted to a fraction in ninths. (If the decimal is repeating, the number is the repeating number, and the denominator is,, or ) Ex. 0. Since the repeating digit is, the fraction is Ex.. Since the whole number is and the repeating digit is, the fraction is 1 Ex Since the repeating digit is 1, the fraction is Practice: Convert all repeating decimals to fractions. 1) 0. 2) 0. ). ). 12 ). ) ) 1. 0 ). 2 ) ) ). 2 12) 0. 0

9 Which is larger? Circle the greater value. You may use a calculator. (Hint: Convert the fractions to decimals first, then compare decimals.) a) or 0. b) or 0.0 c) 0. or 12 d) 2 1 or 1. e) 0.2 or f). or 12 2 g) 0. or 0. h) or or 0 Matching Match the fraction to the correct decimal answer by writing the matching letter on the line provided. A) 1.2 B). C) D) E) F) 21 0.

10 Fractions to Percents I. Using denominators of (When the denominator is, the numerator will be the percent.) 2 12 a) b) c) II. Using equivalent fractions Change the fractions to equivalent fractions with denominators of. Then convert the new fraction to a percent. (The new numerator will be the percent.) 1 a) b) c) d) 20 1 e) f) 20 g) h) 0 22 j) 0 i) 2 2 k) 1 l) 20 2

11 III. Using long division Use long division to change the fraction to a decimal. Then move the decimal 2 places to the right (multiply by ) to change the decimal to a percent. Round all decimal percents to the nearest percent Round to the nearest percent Round to the nearest percent IV. Using a calculator Use a calculator to change the fractions to a decimal first (numerator divided by denominator). Then change the decimal to a percent by multiplying by. Round your final answer to the nearest percent. Ex. 0. ( x ).% % (Type in (Decimal (Percent) (Rounded to Calculator) Answer) nearest percent) a) 12 Decimal Answer: x % b) 2 Decimal Answer: x %

12 12 c) Decimal Answer: x % Rounded to the nearest percent 1 d) 0 Decimal Answer: x % 12 e) Decimal Answer: x % f) 1 Decimal Answer: x % Rounded to the nearest percent 1 g) 0 Decimal Answer: x % Rounded to the nearest percent h) 2 Decimal Answer: x % Rounded to the nearest percent

13 1 Percents to Fractions Percent means per hundred. Take the percent and make it a fraction out of. Simplify if possible. Hint: If the numerator is even (ends in 0, 2,,, or ), or ends in, then the fraction can be simplified. 2 2% % 11% % 2. 2%. %. %. 1%. %. 0%. 1%. 2%. % 11. 1% 12. 0% 1. % 1. % 1. 10% 1. 11% 1. 1%

14 1 Decimals to Percents To convert decimals to percents, simply move the decimal point two places to the right (or multiply by ) and add a percent sign. Convert 0. to a percent 0. % Convert 0.02 to a percent % Convert 2. to a percent 2. 20% Convert these decimals to percents a) 0.2 b) 1. c) 0. d) 0.11 e) f) 0. g) 0. h) 2.1 i) 0. j) 0. k) 0. l) 0. Percents to Decimals To convert percents to decimals, simply move the decimal point two places to the left (or divide by ) and remove the percent sign. Convert 0. to a percent 0. % Convert 0.02 to a percent % Convert 2. to a percent 2. 20% Convert these percents to decimals a) 11% b) % c) % d) 1% e) % f) 10% g) % h) % i) 2%

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