Question

1. Compare the following
7/9 and 8/13
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Answer 1

Answer:

(i) Given (7/9) and (8/13) Taking LCM for 9 and 13 we get, 9 × 13 = 117 Now we convert the given fractions into its equivalent fractions, then it becomes (7 × 13)/ (9 × 13) and (8 × 9)/ (13 × 9) Therefore (91/117) > (72/117) Hence (7/9) > (8/13) (ii) Given (11/9) and (5/9) As the denominator is equal, they forms equivalent fractions. But we know that 11 > 5 Hence (11/9) > (5/9) (iii) Given (37/41) and (19/30) Taking LCM for 41 and 30 we get, 30 × 41 = 1230 Now we convert the given fractions into its equivalent fractions, then it becomes (37 × 30)/ (41 × 30) and (19 × 41)/ (30 × 31) Therefore (1110/1230) > (779/1230) Hence (37/41) > (19/30) (iv) Given (17/15) and (119/105) Taking LCM for 15 and 105 we get, 5 × 3 × 7 = 105 Now we convert the given fractions into its equivalent fractions, then it becomes (17 × 7)/ (15 × 7) and (119/105) Therefore (119/105) = (119/105) Hence (17/15) = (119/105)Read more on Sarthaks.com - https://www.sarthaks.com/679752/compare-the-following-fractions-by-using-the-symbol-or-or-i-7-9-and-8-13-ii-11-9-and-5-9?show=679754#a679754

Answer 2

Answer:

7/9 and 8/13

Let's take the LCM first by multiplying the denominators

LCM=9*13=117

Now,

7/9=7*13/9*13=91/117

Again,

8/13=8*9/13*9=72/117

Now we see that denominators are same. So we compare the numerators

Since, 91>72

So, 7/9>8/13

Therefore, 7/9>8/13.(Ans)