1 Crore+ students have signed up on EduRev. Have you? 
Let us consider a fraction 3/5 and a rational number = 14/7
By definition, 3/5 is a rational number. So, p is true. By definition, 4/7 is not a fraction, since, −4 is not a natural number. So, q is false.
All fractions can be termed as rational numbers; however, all rational numbers cannot be termed as fractions. Only those rational numbers in which 'p' and 'q' are positive integers are termed as fractions.
Which of the following is not a rational number(s)?
√2/3 is not a rational number.
because √2 doesn't have an exact value, and on further division by 3, it goes more unstable.
Which of the following statements is correct?
Since, every integer having a denominator 1 can be expressed in P/q form, p is true. Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5), q is false.
Since, denominator is 0, it is not a rational number.
Which among the following is a rational number equivalent to 5/3?
12/32 = 3*4/8*4 = 3/8
4/7 = 32/X
X=32x7/4
X=56
Which is the correct descending order of −2, 4/−5, −11/20, 3/4?
L.C.M. of 5, 4 and 20 is 20.
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.
What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?
The ascending order of 4/7,1/3, 2/5 and 5/9 is 1/3<2/5<5/9<4/7. The two middle numbers are 2/5 and 5/9.
∴ Average = = 43/90
What is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 7/5 ?
The given numbers can be arranged in ascending order as1/5 < 3/5 < 7/5 < 9/5
The greatest number = 9/5;
The least number = 1/5
We have, 9/5 × x/100 = 1/5
⇒ x = 10/09 =
What is the difference between the greatest and least numbers of 5/9,1/9 and 11/9 ?
The ascending order of given numbers is 1/9,5/9,11/9.
∴ Required difference = 11/9 −1/9 = 10/9
Which of the following pairs represent the same rational number?
−24/15 is the equivalent rational number of −8/5.
P: The quotient of two integers is always a rational number.
Q : 1/0 is not rational. Which of the following statements is true?
Since, 1/0 is not rational, the quotient of two integers is not always rational.
Of which property is −7/5 + (2/−11 + −13/25) = (−7/5 + 2/−11) + −13/25 an example?
Which of the following statements is correct?
All the given statements are correct. Consider
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since
4/5 × 1= 4/5, is the multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.
The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.
Let x be the required number. So,
x+(−7/5) = −3
⇒ x = −3+7/5 = −1/5 + 7/5 = −8/5
168 videos252 docs45 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
168 videos252 docs45 tests









