1.Arrange the following fractions in ascending order. 5/6, 4/6, 1/6, 9/6
2.Arrange the following fractions in ascending order. 4/8, 4/1, 4/3, 4/5
3. Write the missing numerator: 1/7 = ___/42.
4.Compare 7/8 and 9/10 and put <, > or =.
5. Arrange the fractions 2/3, 1/5, 3/4, 5/6 in descending order.
Answers
Answer:
First we find the L.C.M. of the denominators of the fractions to make the denominators same.

L.C.M. = 3 × 2 × 3 × 1 = 18
Now to make the fraction as like fractions divide the L.C.M. by the denominator of fractions, then multiply both the numerator and denominator of fraction with the number get after dividing L.C.M.
As in fraction 5/6 denominator is 6.
Divide 18 ÷ 6 = 3
Now, multiply both numerator and denominator by 3 = 5 × 3/6 × 3 = 15/18
Similarly, 8/9 = 8 × 2/9 × 2 = 16/18 (because 18 ÷ 9 = 2)
and 2/3 = 2 × 6/3 × 6 = 12/18 (because 18 ÷ 3 = 6)
Now, we compare the like fractions 15/18, 16/18 and 12/18
Comparing numerators, we find that 16 > 15 > 12
Therefore, 16/18 > 15/18 > 12/ 18
or 8/9 > 5/6 > 2/3
or 2/3 < 5/6 < 8/9
The ascending order of the fractions is 2/3, 5/6, 8/9.
Solution :-
(1)
since denominator of given fractions is same . So, in order to arrange in ascending order just check numerator values .
since,
→ 1 < 4 < 5 < 9
therefore, ascending order will be :-
→ (1/6) < (4/6) < (5/6) < (9/6) .
(3)
→ (1/7) = (x/42)
→ 7x = 42
→ x = 6 = Missing numerator .
(4)
→ 7/8 and 9/10
→ (7 * 5)/(8 * 5) and (9 * 4)/(10 * 4)
→ (35/40) and (36/40)
since,
→ 35 < 36
therefore,
→ (35/40) < (36/40)
→ (7/8) < (9/10)
for (2) and (5) first make denominator same by taking LCM and then compare their numerator .
(5)
→ 2/3 , 1/5, 3/4, 5/6
→ (2*20/3*20) , (1*12/5*12) , (3*15/4*15) , (5*10/6*10)
→ (40/60) , (12/60), (45/60), (50/60)
since,
→ 50 > 45 > 40 > 12 .
therefore, descending order will be,
→ (5/6) > (3/4) > (2/3) > (1/5) .
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