Guess a fraction

Tom was asked to guess a fraction. The sum of 1/2 the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in simplest form)

Correct answer:

d =  72
n =  12
f =  1/6

Step-by-step explanation:


n/2+d/3=30
n= (d-36)/3

2d+3n = 180
d-3n = 36

Row 2 - 1/2 · Row 1 → Row 2
2d+3n = 180
-4.5n = -54


n = -54/-4.5 = 12
d = 180-3n/2 = 180-3 · 12/2 = 72

d = 72
n = 12

Our linear equations calculator calculates it.
f=n/d=12/72=61=0.1667



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Showing 1 comment:
Math student
can say in a simpler form

2 years ago  1 Like




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