Question (a) to (h) - Figure it out (Page 172) - Questions - Page 168 to 172 - Chapter 7 Class 6 - Fractions (Ganita Prakash)

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Question (a) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (a) 7/2 and 3/5Basically, we need to make denominator same To do this, we multiply both denominators 2 × 5 = 10 So, our fractions become 𝟕/𝟐=𝟕/𝟐 ×𝟓/𝟓 =𝟑𝟓/𝟏𝟎 𝟑/𝟓=𝟑/𝟓 ×𝟐/𝟐 =𝟔/𝟏𝟎 Thus, our equivalent fractions are 𝟑𝟓/𝟏𝟎 and 𝟔/𝟏𝟎 Question (b) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (b) 8/3 and 5/6Basically, we need to make denominator same To do this, we multiply both denominators 3 × 6 = 18 But, this is too big We can just do 3 × 2 = 6 and only change 1st fraction Let’s do that 𝟖/𝟑=𝟖/𝟑 ×𝟐/𝟐 =𝟏𝟔/𝟔 Thus, our equivalent fractions are 𝟏𝟔/𝟔 and 𝟓/𝟔 Question (c) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (c) 3/4 and 3/5Basically, we need to make denominator same To do this, we multiply both denominators 4 × 5 = 20 So, our fractions become 𝟑/𝟒=𝟑/𝟒 ×𝟓/𝟓 =𝟏𝟓/𝟐𝟎 𝟑/𝟓=𝟑/𝟓 ×𝟒/𝟒 =𝟏𝟐/𝟐𝟎 Thus, our equivalent fractions are 𝟏𝟓/𝟐𝟎 and 𝟏𝟐/𝟐𝟎 Question (d) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (d) 6/7 and 8/5Basically, we need to make denominator same To do this, we multiply both denominators 7 × 5 = 35 So, our fractions become 𝟔/𝟕=𝟔/𝟕 ×𝟓/𝟓 =𝟑𝟎/𝟑𝟓 𝟖/𝟓=𝟖/𝟓 ×𝟕/𝟕 =𝟒𝟐/𝟑𝟓 Thus, our equivalent fractions are 𝟑𝟎/𝟑𝟓 and 𝟒𝟐/𝟑𝟓 Question (e) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (e) 9/4 and 5/2Basically, we need to make denominator same To do this, we multiply both denominators 4 × 2 = 8 But, this is too big We can just do 2 × 2 = 4 and only change 2nd fraction Let’s do that 𝟓/𝟐=𝟓/𝟐 ×𝟐/𝟐 =𝟏𝟎/𝟒 Thus, our equivalent fractions are 𝟗/𝟒 and 𝟏𝟎/𝟒 Question (f) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (f) 1/10 and 2/9Basically, we need to make denominator same To do this, we multiply both denominators 10 × 9 = 90 So, our fractions become 𝟏/𝟏𝟎=𝟏/𝟏𝟎 ×𝟗/𝟗 =𝟗/𝟗𝟎 𝟐/𝟗=𝟐/𝟗 ×𝟏𝟎/𝟏𝟎 =𝟐𝟎/𝟗𝟎 Thus, our equivalent fractions are 𝟗/𝟗𝟎 and 𝟐𝟎/𝟗𝟎 Question (g) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (g) 8/3 and 11/4Basically, we need to make denominator same To do this, we multiply both denominators 3 × 4 = 12 So, our fractions become 𝟖/𝟑=𝟖/𝟑 ×𝟒/𝟒 =𝟑𝟐/𝟏𝟐 𝟏𝟏/𝟒=𝟏𝟏/𝟒 ×𝟑/𝟑 =𝟑𝟑/𝟏𝟐 Thus, our equivalent fractions are 𝟑𝟐/𝟏𝟐 and 𝟑𝟑/𝟏𝟐 Question (h) - Figure it out (Page 172) Find equivalent fractions for the given pairs of fractions such that the fractional units are the same. (h) 13/6 and 1/9Basically, we need to make denominator same To do this, we multiply both denominators 6 × 9 = 54 But, this is too big We can just make denominator 18 Let’s do that 𝟏𝟑/𝟔=𝟏𝟑/𝟔 ×𝟑/𝟑 =𝟑𝟗/𝟏𝟖 𝟏/𝟗=𝟏/𝟗 ×𝟐/𝟐 =𝟐/𝟏𝟖 Thus, our equivalent fractions are 𝟑𝟗/𝟏𝟖 and 𝟐/𝟏𝟖