#### How do you order fractions from least to greatest and vice versa? Arrange the accompanying fractions 5/6, 8/9, 2/3 in rising request. First, we discover the L.C.M. of the denominators of the fractions to make the denominators the same. Presently to divide as like fractions isolate the L.C.M. by the denominator of divisions, at that point, duplicate both the numerator and denominator of the fraction with the number get after isolating L.C.M. As in division 5/6, the denominator is 6. Divide 18 ÷ 6 = 3 Presently, duplicate both numerator and denominator by 3 = 5 × 3/6 × 3 = 15/18 Likewise, 8/9 = 8 × 2/9 × 2 = 16/18 (since 18 ÷ 9 = 2) also, 2/3 = 2 × 6/3 × 6 = 12/18 (since 18 ÷ 3 = 6) Presently, we analyze the like fractions 15/18, 16/18 and 12/18 Contrasting numerators, we locate that 16 > 15 > 12 Thusly, 16/18 > 15/18 > 12/18 or then again 8/9 > 5/6 > 2/3 or then again 2/3 < 5/6 < 8/9 The ascending order of the divisions is 2/3, 5/6, 8/9. Descending order: First, we discover the L.C.M. of the denominators of the divisions to make the denominators the same. L.C.M. of 6, 10 and 20 L.C.M. of 6, 10 and 20 = 2 × 5 × 3 × 1 × 2 = 60 5/6 = 5 × 10/6 × 10 = 50/60 (since 60 ÷ 6 = 10) 7/10 = 7 × 6/10 × 6 = 42/60 (since 60 ÷ 10 = 6) 11/20 = 11 × 3/20 × 3 = 33/60 (since 60 ÷ 20 = 3) Presently we analyze the like divisions 50/60, 42/60 and 33/60 Looking at numerators, we locate that 50 > 42 > 33. In this manner, 50/60 > 42/60 > 33/60 or 5/6 > 7/10 > 11/20 The sliding request of the fractions is 5/6, 7/10, 11/20.

We start out the early lesson and guided practice worksheet by doing a simple two-fraction comparison. This reminds students of the fundamental process. From there we go on to compare three fractions and order them from least to greatest. It helps if you get everything in the same denominator and make your comparison from there. We finish off by including a decimal in the sequence. You would be surprised how often this comes up in just about job you end up doing in everyday life. These worksheets explain how to compare and order fractions and decimals. Your students will use these sheets to learn about least common multiples, and how to compare fractions and decimals without converting them to common denominators.