Advertisements
Advertisements
प्रश्न
Which is greater in the following?
`-3 5/7, 3 1/9`
Advertisements
उत्तर
Given rational numbers are `-3 5/7` and `3 1/9`
Here, `-3 5/7 = - ([(3) xx 7 + 5])/7 = (-[(21) + 5])/7 = (-26)/7`
Also, `3 1/9 = ([3 xx 9 + 1])/9 = (27 + 1)/9 = 28/9`
So, the rational numbers can be written as `(-26)/7` and `28/9`
`(-26)/7 = (-26 xx 9)/(7 xx 9) = - 234/63` and `28/9 = (28 xx 7)/(9 xx 7) = 196/63` ...[∵ LCM of 7 and 9 = 63]
∴ 196 > –234 ...[Since, the denominators of both rational numbers are same]
So, `3 1/9 > - 3 5/7`
Hence, the greater number is `3 1/9`.
APPEARS IN
संबंधित प्रश्न
Draw the number line and represent the following rational numbers on it:
`7/8`
Write three rational numbers that lie between the two given numbers.
`2/7, 6/7`
Write three rational numbers that lie between the two given numbers.
`-3/4 , 5/4`
Write three rational numbers that lie between the two given numbers.
`5/7`, `11/7`
The average of two rational numbers lies between them
List any five rational numbers between the given rational numbers
`(-6)/4` and `(-23)/10`
`5/6` lies between `2/3` and 1.
There are countless rational numbers between `5/6` and `8/9`.
The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect.
Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?
Sum of two rational numbers is always a rational number.
