Advertisements
Advertisements
Question
Arrange the following rational numbers in ascending order.
`(7)/(4), (-6)/(5) and (-5)/(2)`
Advertisements
Solution
Given number : `(7)/(4), (-6)/(5) and (-5)/(2)`
The L.C.M. of 4, 5 and 2 is 20.
Thus, numbers are :
`(7)/(4)`
= `(7 xx 5)/(4 xx 5)`
= `(35)/(20)`;
`(-6)/(5)`
= `(-6 xx 4)/(5 xx 4)`
= `(-36)/(20)`
and `(-5)/(2)`
= `(-5 xx 10)/(2 xx 10)`
= `(-50)/(20)`
Since -50 < -36 <35, we have `(-5)/(2) < (-6)/(5) < (7)/(4)`.
APPEARS IN
RELATED QUESTIONS
Add the following rational numbers.
\[\frac{- 8}{11} and \frac{- 4}{11}\]
Subtract the first rational number from the second in each of the following:
Evaluate each of the following:
Divide:
Divide:
Find (x + y) ÷ (x − y), if
Are the following statement true or false ? Give reason for your answer.
- Every whole number is a natural number.
- Every whole number is a rational number.
- Every integer is a rational number.
- Every rational number is a whole number.
State, True Or False
`7/9=(7÷5)/(9÷5)`
Select those which can be written as a rational number with denominator 4 in their lowest form:
`7/8, 64/16, 36/(-12), (-16)/17, 5/(-4), 140/28`
Write the rational number whose numerator and denominator are respectively as under:
35 ÷ (–7) and 35 – 18
