Comparing unlike fractions
Last updated at April 16, 2024 by Teachoo
Comparing fractions
Last updated at April 16, 2024 by Teachoo
Comparing unlike fractionsUnlike fractions are those fractions where denominators are different. Eg : 1/2, 1/3, 1/5, 1/8 are like fractions Compare 2/3 & 3/4 Since they don’t have same denominator, we try to make denominator same. Common denominator = L.C.M of 3 & 4 = 2 × 2 × 3 = 12 2 3, 4 2 3, 2 3 3, 1 1, 1 So, 2/3 = 2/3 × 4/4= 8/12 3/4 =3/4 × 3/3= 9/12 Since, 9/12 > 8/12 ∴ 3/4 > 2/3 Compare 12/42 & 15/45 Here, 42, 45 are big numbers, we try to make it smaller 12/42 ÷ 2 ÷ 2 = 6/21 3 = 2/7 15/45 ÷ 3 ÷ 3 = 5/15 5 5 = 1/3 So, we have to compare 2/7 & 1/3 Since they don’t have the same denominator, We try to make denominator’s same Common denominator = L.C.M of 7 & 3 = 7 × 3 = 21 So, 2/7 = 2/7 × 3/3× = 6/21 1/3 = 1/3 x 7/7 = 6/21 since, 7/21 > 6/21 Hence, 1/3 > 2/7 ∴ 𝟏𝟓/𝟒𝟓 > 𝟏𝟐/𝟒𝟐