In a hostel’s mess, each student gets 1/3 litre of milk every day. If the total consumption
of milk is 87 2/3 litres per day, how many students are there in the hostel?
Answers
Solution
Rational Number : A rational number is a fractional number which is in the form of a p/q , where q is ≠ 0.
Some examples are 2/5,3/6,7/8 , 2/3, 2/9 and so on.
Here , see the denominator 5,6,8,9 &3 all are >0
=>Rational number can be further converted into decimal form e.g., 1/2= 0.5
Learn more:
Types
Real Numbers ( real numbers includes all the integers )
Natural Numbers
Whole Numbers
Standard form of Rational Number:
Rational number having fractional values with no common factor between dividend and divisor and Divisor be positive.
e.g., 12/36= 2/6= 1/3
Answer:
Given -
y
=
1
x
2
Method -1
The given function can be written as -
y
=
x
−
2
d
y
d
x
=
−
2
x
−
2
−
1
d
y
d
x
=
−
2
x
−
3
d
y
d
x
=
−
2
x
3
Method - 2
We can apply quotient rule
d
y
d
x
=
[
(
x
2
)
(
0
)
]
−
[
(
1
)
(
2
x
)
]
(
x
2
)
2
d
y
d
x
=
−
2
x
x
4
d
y
d
x
=
−
2
x
3