SOLUTION: The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number.
----------- ----------- ----------- ----------- -----------
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number.
----------- ----------- ----------- ----------- -----------
Log On
Question 40915: The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number.
--------------------------------------------------------------------------------
What # can be added to both the numerator and the denominator of this fraction to produce this fraction?
19/37 + ___= 4/7
Thanks sooooooooooo much!!!!!!!!!!! Answer by rajagopalan(174) (Show Source):
You can put this solution on YOUR website! given fraction 19/37
required fracion 4/7
numerator = 19+ x
denominator = 37 + x
(19+x)/(37+x) = 4/7
cross multiplying
7*(19+x)=4*(37+x)
expanding
133+7x = 148 + 4x
7x-4x =148-133
3x=15
x=5
verification:
(19+5)/(37+5)=24/42 = 4/7 ..okay!!!
So 5 can be added to obtain the result.
