ramiroandresque
Answered


Exercise

1. If we multiply by three the numerator of a fraction and add 12 to the denominator, the value of the fraction is three quarters, and if the numerator increases in 7 and the denominator trebles the value of the fraction is a way, finds the fraction.

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Answer :

konrad509
x - nominator
y - denominator

[tex]\frac{3x}{y+12}=\frac{3}{4}\\ \frac{x+7}{3y}=\frac{1}{2}\\\\ 3(y+12)=12x\\ 2(x+7)=3y\\\\ 3y+36=12x\\ 2x+14=3y\\\\ 2x+14+36=12x\\ 10x=50\\ x=5\\\\ 3y=2\cdot5+14\\ 3y=10+14\\ 3y=24\\ y=8\\\\ \frac{x}{y}=\boxed{\frac{5}{8}}[/tex]

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