The fraction is [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Let,
The denominator of fraction = x
Numerator of fraction = x-3
Fraction = [tex]\frac{x-3}{x}[/tex]
According to given statement;
1 is added to the numerator, the value of the fraction becomes 3/4.
[tex]\frac{x-3+1}{x}=\frac{3}{4}\\\\\frac{x-2}{x}=\frac{3}{4}[/tex]
Using cross multiplication
[tex]4(x-2)=3*x\\4x-8=3x\\4x-3x=8\\x=8[/tex]
Fraction = [tex]\frac{x-3}{x}=\frac{8-3}{8}=\frac{5}{8}[/tex]
Keywords: fraction, division
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