Here are four fractions, 4/5 3/8 12/30 14/20. Write them in order of size, starting with the smallest fraction.

First cancel down the fractions to make the numbers as small as possible, then make all fractions have the same denominator. 12/30 becomes 2/5. 14/20 becomes 7/10. So the new fractions are 4/5 3/8 2/5 and 7/10.Find the lowest common multiple for the denominators. Write down the first 10 multiples of each number.5 10 15 20 25 30 35 40 45 508 16 24 32 40 48 56 64 72 8010 20 30 40 50 60 70 80 90 100Identify the smallest number that appears in all 3 rows.5 10 15 20 25 30 35 40 45 508 16 24 32 40 48 56 64 72 8010 20 30 40 50 60 70 80 90 100As you can see, this number is 40. 58=40 85=40 10*4=40.Use the values to make the denominators of each fraction the same.4/5 * 8 = 32/403/8 * 5 = 15/402/5 * 8 = 16/407/10 * 4 = 28/40The new fractions are now 32/40 15/40 16/40 28/40.As the denominators are now the same, you can focus on the numerators, and arrange them in ascending order.15/40 16/40 28/40 32/40Then replace them with the original fractions.15/40 becomes 3/8. 16/40 becomes 12/30. 28/40 becomes 14/20. 32/40 becomes 4/5So the final answer is3/8 12/30 14/20 4/5