1. the sum of two number is -5/3. if one the numbers is -12/3, what is the other number
2. what should be added to1/3+1/4+1/6 to get 1
3. what should be subtracted from3/5 to get -1/4
4. what number should be subtracted from (3/4 - 1/3) to get -1/4
5. subtract the sum of -5/6and 4/5 from the sum of -3/5 and7/15
Answers
Given :--
1. Let the second number be x, then
= -12/3 + x = -5/3
= x = -5/3 + 12/3 ( By transferring )
= x = 7/3 (ans)
Therefore 7/3 is the second number.
2. Let the number added to be x, then
1/3 + 1/4 + 1/6 + x = 1
-1/3 -1/4 -1/6 + 1 ( LCM of 3, 4, 6, 1 is 12 )
x = 12/12 - 4/12 - 3/12 - 2/12
x = 12/12 - 9/12
x = 3/12 (ans)
Therefore, 3/12 when added to above number gives 1 as the answer.
3. Let the number to be subtracted be x ,then
3/5 - x = -1/4
x = -1/4 - 3/5 (LCM of 4 and 5 is 20)
x = -5/20 - 12/20
x = -17/20 (ans)
Therefore, we have found that-17/20 when subtracted by 3/5 we will get -1/4.
4. Let the number subtracted be x, then
(3/4 -1/3) - x = -1/4
x = -1/4 - 3/4 + 1/3
x = -4/4 + 1/3 ( LCM of 4 and 3 is 12 )
x = -12/12 + 4/12
x = -8/12
Therefore, we found that -8/12 when subtracted by the above numbers the answer comes -1/4.
5. Sum of -5/6 and 4/5
= LCM of 6 and 5 is 30
= -25/30 + 24/30
= -1/30
and,
Sum of -3/5 and 7/15
= LCM of 5 and 15 is 15
= -9/15 + 7/15
= -2/15
Now, difference between -1/30 and -2/15
LCM of 30 and 15 is 30
-1/30 - (-4/30)
-1/30 + 4/30
3/30 (ans)
Therefore, we have found that Sum of -5/6 and 4/5 Subtracted from the Sum of -3/5 and 7/15
we will get 3/30 as our answer.
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Some important tricks and tips to do these types of questions :--
(1) Always remember that minus and minus is plus and plus and minus is minus.
(2) Always remember that while transferring the digits change the plus sign with minus sign and minus sign with plus sign.
(3) If you are confused in these types of questions take the use of x.
(4) While adding and subtracting if the denominatior is not same try to take out the LCM of the two numbers.
(5) Never forget to write therefore in the last.
HOPE IT WILL HELP YOU...
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