Question 355427
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:
{{{(7+x)/(3+x) = 3/2}}}
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