Answer:
Original fraction = ⁴/₇
Step-by-step explanation:
<u>Numerator</u>: top of the fraction
<u>Denominator</u>: bottom of a fraction
Let x be the original numerator.
If the <u>denominator</u> of a fraction <u>exceeds the numerator by 3</u>:
If the <u>numerator is doubled</u> and the <u>denominator is increased by 14</u>, then fraction becomes 2/3rd of the original fraction:
Cross multiply:
Divide both sides by 2x:
Subtract x from both sides:
Subtract 9 from both sides:
Divide both sides by 2:
Substitute the found value of x into the original fraction:
Therefore, the original fraction is ⁴/₇.