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Worksheet 3b: Ordering Fractions Several methods – 1. draw fractions and or picture them in your head (Remember: the bigger the denominator the smaller the piece) 2. use logic (see picture in your head) 3. change to equivalent fractions 4. change to decimals Write fractions in order, least rewrite the fractions in order. 1 9 = 1 ÷ 9 = 0.111111 …. = 0.1̅ 1̇ to greatest. Just put in numbers 1-4, you don’t need to Use pictures and/or logic 1 8 3 7 9 9 9 9 2 2 2 2 10 3 8 6 1. 2. 3. 3 2 5 7 4 3 6 8 1. ASK: What is the common multiple of the bottom numbers? (denominator) or Which number has 10, 5, 15, & 6 as a factor? Use Equivalent Fractions 4. Answer: 30 7×3 2×6 5×? 5×? 10×3 5×6 15×2 6× ? 2. THEN ASK 10 × what? = 30 21 30 30 30 30 10 × 3 = 30, therefore I also need to do 7 × 3. If I multiply the bottom number by a number I must multiply the top by the same!! Use equivalent fractions as illustrated in question #4. Show all your work! 5. 6. 7 1 3 17 16 2 8 32 5 2 5 5 17 12 3 6 8 32 Use calculator to convert fractions into decimals and then order 7. 8. 7 78 3 7 9 100 4 10 8 4 3 4 17 9 8 7 7 9 =7÷9= 0. 7777… = 0.7̅