Question 1:
what number should be added to - 7/8 to get 4/9
let the required number is x.
According to the question,
- 7/8 + x = 4/9
x=4/9+7/9
=(4+7)/9
=11/9
Required number=11/9
Question 2:
what number should be added to -5/12 to get 7/6
let the required number is x.
According to the question,
-5/12 + x = 7/6
x=7/6+5/12
=(14+5)/12
=19/9
Required number=19/12
Question 3:
what should be subtracted from -4/9 to get 5/12
let the required number is x.
According to the question,
-4/9-x=5/12
Or, -x=5/12+4/9
Or, x=(15+12)/36
Or, -x=37/36
Or,x=-37/36
Required number=-37/36
Question 4:
what number should be added to -5/7 to get -7/9
let the required number is x.
According to the question,
-5/7+x=-7/9
Or, x=-7/9 + 5/7
Or, x=(-49+45)/63
Or, x=-4/63
Required number=-4/63
Question 5:
what number should be subtracted from -2/3 to get -1/6
let the required number is x.
According to the question,
-2/3-x=-1/6
Or, -x=-1/6+2/3
Or, -x=(-1+4)/6
Or, -x=3/6
Or, -x=1/2
Or, x=-1/2
Required number=-1/2
Question 6:
what number should be added to 3/8 to get 7/9
let the required number is x.
According to the question,
3/8+x=7/9
Or, x=7/9-3/8
Or, x=(56-27)/72
Or, x=29/72
Required number=29/72
Question 7:
what number should be added to 3 by 8 to get minus 1 by 24
or
what number should be added to 3/8 to get - 1/24
or
what should be added to 3/8 to get-1/24
let the required number is x.
According to the question,
3/8+x=1/24
Or, x=1/24-3/8
Or, x=(1-9)/24
Or, x=-8/24
Or, x=-1/3
Required number=29/72
Question 8:
simplify: 2/3 + -4/5 + 7/15 + -11/20
2/3 + -4/5 + 7/15 + -11/20
=2/3 - 4/5 + 7/15 - 11/20
=(40-48+28-22)/60
=-2/60
=-1/30
Question 9:
what rational number should be added to -5/11 to get -7/8
let the required number is x.
According to the question,
-5/11+x=-7/8
Or, x=-7/8+5/11
Or, x=(-56+40)/88
Or, x=-16/88
Or, x=-2/11
Required number=-2/11
Question 10:
which of the rational numbers 4/9, -5/6, -7/-12 and 11/-24 is the smallest?
4/9=0.4444444444……
-5/6=-0.833333333333………(smallest)
-7/-12=7/12=0.583333333333……..(greatest)
11/-24=-11/24=-0.4583333333333………
Question 11:
the product of two numbers is -20/9. if one of the numbers is 4, find the other.
Let other number=x
According to the question,
x * 4=-120/9
or, x=-30/9
or, x=-10/3
so, other number is 10/3.
Question 12:
which of the two rational numbers 5 / 7 or 3 / 5 is greater?
5/7=0.714285714
3/5=0.6
So, 5/7 is greater.
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