Comparing fractions

Transcript

Comparing fractionsComparing like fractions Like fractions are those fractions where denominators are same Eg : 1/3, 2/3, 4/3, 8/3 are like fractions How do we know which one is bigger? The fraction where numerator is greater, that fraction is bigger 1/3 < 2/3 < 4/3 < 8/3 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 & 3/3 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 So, 2/3 = 3/4 = Since, 9/12 > 8/12 ∴ 3/4 > 2/3 2/3 × 4/4= 8/12 3/4 × 3/3 = 9/12 Compare 𝟏𝟐/𝟒𝟐 & 𝟏𝟓/𝟒𝟓 Here, 42, 45 are big numbers, we try to make it smaller 12/42 15/45 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 = 1/3 = Since, 7/21 > 6/21 1/3 × 7/7 = 6/21 = 6/21 2/7 × 3/3 Hence, 1/3 > 2/7 ∴ 𝟏𝟓/𝟒𝟓 > 𝟏𝟐/𝟒𝟐