Fractions and Decimals COURSE 2 LESSON 3-9 The total amount of rainfall yesterday was reported as in. Express the amount of rainfall as a decimal. 1 4 Method 1  Paper and Pencil Method 2  Calculator or 1 ÷ 4 = 4 1.00 1 4 0.25 –8 20 –20 quotient The remainder is 0. 1 4 0.25 So, = 0.25. The total amount of rainfall was 0.25 in. 1 4 3-9

Fractions and Decimals COURSE 2 LESSON 3-9 7 15 Write as a decimal. Method 1  Paper and Pencil Method 2  Calculator The digit “6” repeats. There will always be a remainder. or 7 ÷ 15 = 15 7.0000 0.4666 –60 100 –90 7 15 10 7 15 0.46666667 7 15 So, = 0.46. 3-9

Fractions and Decimals COURSE 2 LESSON 3-9 Write 4.105 as a fraction in simplest form. Since 0.105 = , 4.105 = 4 . 105 1,000 4 = 4 105 1,000 105 ÷ 5 1,000 ÷ 5 Use the GCF to write the fraction in simplest form. = 4 21 200 3-9

Fractions and Decimals COURSE 2 LESSON 3-9 In a survey of next year’s seventh-grade students, 0.25 said they will come to school by bus, said they will walk, 0.375 said they will come in a car, and said they will ride their bicycles. Order the means of transportation from most used to least used. 5 24 1 16 bicycles 1 16 = 0.0625 Use a calculator to change the fractions to decimals. walk 5 24 = 0.2083 Since 0.375 > 0.25 > 0.2083 > 0.0625, the means of transportation are car, bus, walking, and bicycle. 3-9

Fractions and Decimals COURSE 2 LESSON 3-9 Write each fraction as a decimal. 1. 2. 3. 4. 7 8 4 9 0.875 0.4 3 5 5 16 0.6 0.3125 3-9