Math 102
posted by Allen .
What number must be added to the numerator and subtracted from the denominator of 10/23 to obtain a fraction equivalent of 6/5? Please provide step by step, this is a word problem for rational expressions. Thank you

So you want
(10+x)/(23x) = 6/5
crossmultiply
5(10+x) = 6(23x)
50 + 5x = 138  6x
11x = 88
x = 8
the number is 8
check"
(10+8)/(238)
= 18/15
= 6/5
Respond to this Question
Similar Questions

6th grade math
I still do not understand this problem? find a number such that when added to the numerator and denominator of 2/11 yields a fraction equivalent to 1/2? 
Algebra
What number must be added to both the numerator and denominator by 3. If 3 is added to the numberator and 9 is subtracted from the denominator, the new fraction is equal to 3/2. Find the original fraction. 
algebra
The numerator of a fraction is 7 less than the denominator if three is added to the numerator and 9 is subtracted from the denominator the new fraction is equal to 3/2. Find the original fraction. 
math
A fraction becomes 1/2 when 3 is subtracted from its numerator. If 5 and 7 are respectively added to its numerator and denominator, it becomes 3\4 then, the LCM of the numerator and denominator of the said fraction,must be 
maths
the numerator and denominator of a fraction are in the ratio 3:2 if 3 is added to the numerator and 2 is subtracted from the denominator a new fraction is formed whose value is 9/4 find the original fraction? 
Math
If the numerator of a fractionis multiplied by 4 and the denominatoris reduced by 2,the result is 2.if the numerator of the fraction is increase by 15 and 2 subtracted from the double of the denominator the result is 9/7, find the … 
GEN MATH
Solve the ff. problems. Present a complete and systematic solution. 1.) A number added to twice its reciprocal is equal to 11/3. WHat is the number? 
Algebra
The numerator and the denominator of a fraction are in a ratio 3:2.If 3 is added to the numerator and 2 is subtracted from the denominator,a new fraction is formed whose value is 9/4 . Find the original fraction. 
Math
The denominator of a fraction exceeds the numerator by 7. If 3 is added to the numerator and 1 is subtracted from the denominator, the resulting fraction is equal to 4/5 . Find the original fraction. PLZ SHOW ALL WORK AND HURRY!!! 
math
The denominator of a fraction is 3 more than the numerator. If 5 is added to the numerator and 4 is subtracted from the denominator the value of the new fraction is 2. Find the original fraction?