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Which is the smallest fraction:
- 11/13
- 9/11
- 5/4
- 5/7
Pls. explain it in most easy step as calculator is not allowed.
Read Solution (Total 23)
-
- take the LCM of denominator and then multiply the numerator by the number by which we get the LCM values by multiplying by the denominator.
and then arrange it according to the value of numerator.
LCM of 4,7,11,13 is 4004
so we have given fraction as
11/13, 9/11, 5/4, 5/7
=>11*308/13*308, 9*364/11*364, 5*1001/4*1001, 5*572/7*572
=>3388/4004, 3276/4004, 5005/4004, 2860/4004
=>so 5005 is the largest and 2860 is the smallest number
=>therefore 5/4 is the largest and 5/7 is the smallest fraction. - 10 years agoHelpfull: Yes(14) No(1)
- 11/13=.846
9/11=.818
5/4=1.25
5/7=.714
So smallest is 5/7 its as simple as you can think - 10 years agoHelpfull: Yes(12) No(0)
- c)-5/4
since its only option that have -ve greater than 1 - 10 years agoHelpfull: Yes(2) No(4)
- @Ankit: How to calculate and what is the funda?
- 10 years agoHelpfull: Yes(2) No(0)
- 5/7.The more the difference between numerator and denominator, the least will be frction. If the numbers itself are are small the fraction will be small.
- 10 years agoHelpfull: Yes(2) No(0)
- 5/7 will be smallest
because more the difference between numerator and denominator lesser is the value.
but if diff is same then we check for smallest num/denom in the options and that is 5/7 - 10 years agoHelpfull: Yes(2) No(0)
- 5/4 should not be the ans as it is more than 1.
among 11/13, 9/11, 5/7 the smallest will be the one which has the smallest no in num and in den the no will be same for all,
11/13=(11*11*7)/(13*11*7)=847/(11*91)
9/11=(9*13*7)/(13*11*7)=819/(11*91)
5/7=(5*11*13)/(13*11*7)=705/(11*91)
so 5/7 is the smallest - 10 years agoHelpfull: Yes(2) No(0)
- 5/7 smallest
- 10 years agoHelpfull: Yes(1) No(0)
- As we can see, 5/4 is greater than 1 and all other are smaller than 1 so we have to take L.C.M. of 7,11 and 13 only. Then multiplying the numerator by suitable nos. as you aal know.
- 10 years agoHelpfull: Yes(1) No(1)
- @Subhash..no its not negative the options are
1) 11/13
2) 9/11
3) 5/4
4) 5/7 - 10 years agoHelpfull: Yes(0) No(0)
- @sachin:- =>11*308/13*308, 9*364/11*364, 5*1001/4*1001, 5*572/7*572
Pls explain the above step: how can we come to know as how to take 308? or 364? without the use of calculator. - 10 years agoHelpfull: Yes(0) No(0)
- Guys.. I am repeating that CALCULATOR is not alllowed so pls. let me know the easiest method pls.
- 10 years agoHelpfull: Yes(0) No(0)
- 5/7 is the smallest number
- 10 years agoHelpfull: Yes(0) No(0)
- -5/7 is the smallest
- 10 years agoHelpfull: Yes(0) No(0)
- -11/13=-0.8461
-9/11=-0.81818
-5/4=-1.25
-5/7=-0.7142
so -5/4 is smallest fraction - 10 years agoHelpfull: Yes(0) No(0)
- 5/7
take two options at a time
like 11/13 and 9/11.multiply ones numerator with other denominator. - 10 years agoHelpfull: Yes(0) No(0)
- 5/7= 0.7. calculation.
- 10 years agoHelpfull: Yes(0) No(0)
- 5/7 answr
- 10 years agoHelpfull: Yes(0) No(1)
- first compare 11/13 &9/11 now do cross multiplication 11*11=121 &9*13=117 then 9/11 is small do same steps for 3 & 4 Options then you got right answer
ans 5/7
- 10 years agoHelpfull: Yes(0) No(1)
- answer is 5/7
- 10 years agoHelpfull: Yes(0) No(1)
- ans is: 11/13
5/7= 0.71
11/13=0.84 so this is the smallest fraction - 10 years agoHelpfull: Yes(0) No(0)
- check out the difference between the numerator and denominator for fractions 1
- 10 years agoHelpfull: Yes(0) No(0)
- 5/7, 5/7=0.71 which is smallest one among all.
- 10 years agoHelpfull: Yes(0) No(0)
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