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Every rational number is not a fraction. In rational numbers, we use integers and in fractions, we use only natural numbers.
Expressing in standard form, we get
Express each rational number with L.C.M as denominator. L.C.M of 9 and 5 is 9 × 5 = 45.
∴
Comparing the numerators, we have −40<−36 .
∴
How is 28/84 expressed as a rational number with numerator 4?
Given, 28/84
Dividing both the numbers by 7.
Therefore, 4/12.
So,
Hence, both (b) and (c) are false.
Which of the following is a rational number between 1/4 and 1/3 ?
Which of the following is the correct arrangement of in descending order?
LCM of 5,10,15 and 20 which is 60. Now making the denominator same, we have . So descending order is that is
LCM of 5,3 and 15 is 15
What is the sum of the additive inverse and multiplicative inverse of 2?
Additive inverse of 2 is −2
Multiplicative inverse of 2 is 1/2
∴ The sum of multiplicative inverse and additive inverse =
Answer :
ANSWER : b
Solution : 7/8  2/3
= {(2116)/24}
= 5/24
Which among the following is a rational number equivalent to 5/3 ?
Hence the correct answer is 5/3.
5/4 – 8/3
Making the denominator equal:
[(5/4) x (3/3)] – [(8/3) x (4/4)]
= (15/12) – (32/12)
= (15 – 32)/12
= 17/12
Which number is in the middle if 1/6, 4/9, 6/7, 2/5 and 3/4 arranged in descending order?
⅙ = 0.16
4/9 = 0.44
6/7 = 0.85
⅖ = 0.40
¾ = 0.75
Descending Order :  4/9, 2/5, 1/6, 3/4, 6/7
Middle term :  1/6
What is the average of the two middle rational numbers when and are arranged in ascending order?
Arranging the given rational numbers in ascending order, we get
The two middle rational numbers
Their average is
(3*9 + 5*7 )/63
8/63
The correct answer is b
Let the number be x
Then,
X+(4/7)=5/9
X=5/9+4/7
X= 35+36/63
X=71/63
Let x be subtracted from 7/11
then 7/11  x= 2
x= 2 + (7/11)
x= 2 + 7/11
x= 15/11
x= 15/11
By what rational number should 3/5 be multiplied to obtain 21?
Let the rational no be x
3/5 X x = 21
x = (21 X5 )/ 3
x = 35
The sum of two rational numbers is −3. If one of them is 11/5, find the other.
The correct answer is a.
Let the other number be x
x+(11/5)= 3
x= 3+11/5
x=15+11/5
x= 4/5
Which of the following is the resultant of 1/12 + 1/3 + 1/6 + 5/7 + 3/4 + 10/7?
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