The sum of two rational numbers is 44/55.If one number is 2/15,find the other number
Answers
Answer:
2/3
Step-by-step explanation:
Given:
Sum of the two Rational Numbers = 44/55
One of the numbers = 2/15
To find:
The second number.
Solution:
Let the second number be x.
∴ x + 2/15 = 44/55
x = 44/55 - 2/15
Since the denominators are different, we will take the L.C.M. of the denominators.
Here, the L.C.M. of 15 and 55 is 165
Hence, 2/15 = 22/165 and 44/55 = 132/165
Hence, (132 - 22)/ 165 = 110/165
= 10/15
= 2/3
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Answer:
It is said that the sum of two rational numbers is 44/55.
i.e., x+x=44/55
If one of those numbers or x is 2/15..
i.e., 2/15+x=44/55
Then we should find the other number or x.
So,
2/15+x=44/55
x=44/55-2/15. (side change sign change)
x=132-22/165
x=110/165
x=22/33
So the other number is 22/33.
Now you can add 22/33 and 2/15 to see if the sum of these two rational numbers is 44/55 or not.
=22/33+2/15
=110+22/165
=132/165
=44/55
So this is your answer dear friend.
Hope this will help you.