SOLUTION: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?

Question 355427: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
Let x = the unknown number. Then "the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2" translates into:

This is a proportion. We can use cross multiplication to solve:
(7+x)*2 = (3+x)*3
Now we solve. Start by simplifying:
14 + 2x = 9 + 3x
Get the variable terms on one side (by subtracting 2x from each side):
14 = 9 + x
Subtract 9 from each side:
5 = x
RELATED QUESTIONS
If the numerator and denominator of 7/3 are increased by the same number, the new... (answered by edjones)

The numerator of a fraction is 15 less than twive its denominator. If the numerator is... (answered by josgarithmetic)

In a certain fraction, the numerator is 7 less than the denominator. If booth the... (answered by MowMow,josgarithmetic,MathTherapy,ikleyn)

The denominator of rational number is greater than its numerator by 3. If the numerator... (answered by josgarithmetic)

The denominator of a fraction is 3 more than twice the numerator. If both the numerator... (answered by josgarithmetic)

The numerator of a certain fraction is 3 less than the denominator. If the numerator is... (answered by Fombitz,solver91311)

The numerator of a certain fraction is 3 less than the denominator. If the numerator is... (answered by richwmiller)

problem 1. the sum of the reciprocals of two numbers is 7. The larger reciprocal exceeds... (answered by mananth,sudhanshu_kmr)

The denominator of a fraction is greater than the numerator by 8. If the numerator is... (answered by god2012)