# Fractions * Decimals * Percents The student will learn how to convert various fractions, decimals and percentages.

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Fractions * Decimals * Percents The student will learn how to convert various fractions, decimals and percentages

Converting fraction to decimal To convert fraction to decimal you divide the numerator by the denominator 3 5 3 5.6 5 3.0 3 0.6

Converting fraction to decimal 1.33 3 3 1.0 9 10 or 9 1.333.33 1/3

Converting decimals to fractions Write a fraction, using the decimal number as the numerator and a power of 10 (10,100,1000 etc.) corresponding to the place value of the last digit of the decimal # as the denominator Example 1 :.25 as a fraction 25 is the numerator In.25 the last digit is in the hundredths place, therefore 100 is the denominator 25 ÷ 25 = 1 100 ÷ 25 = 4 1/4

Converting decimals to fractions Example 2: 4.375 set aside the 4 and convert the.375 into a fraction 375 is the numerator. In the decimal #.375, 5 is the last digit & is in the thousandths place, therefore 1000 is the denominator. The greatest divisor common to both numerator & denominator is 125. 375 ÷ 125 = 3 The reduced fraction is 3/8 1000 ÷ 125 = 8 Annex the 4 for 4 3/8

Percents to fraction to decimal % means hundredths – 100’s % - sign for percent Every % may be written a decimal or fraction Example : 1% or.01 or 1/100 PercentFractionDecimal 5%5/100.05 7.5%7.5/100.075 120%120/1001.20.8%.8/100.008

Percents to fraction to decimal Percent Move decimal Decimal # 5% 05.0 5 150% 150 1.50.2% 002.002 65% 65.65 When you change a % to decimal,you move the decimal 2 places LEFT ( drop the % sign)

Percents to fraction to decimal Decimal # move decimal Percent 3 300 300%.35 35 35% 4.5 450 450%.2 20 20% When you change a decimal to a %, you move the decimal 2 places RIGHT & add the % sign

Percent of a number Change percent to a decimal # % means hundredth Multiply number by the decimal # 75% of \$45.00 75% is 75/100 or.75 45 x.75 225 315 33.75 \$33.75

Percent of a number 60% of \$1,450.00 60% =.60 1450.00 60 870.0000 \$870.00

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