Answer :
Answer:
Denominator = 80
Step-by-step explanation:
Given:
The denominator is 16 greater than the numerator.
If the fraction is equivalent to 80 percent,
Question asked:
What is the denominator of the fraction ?
Solution:
Let numerator be [tex]x[/tex]
Then the denominator = [tex]x + 16[/tex] (given)
As the fraction is equivalent to 80%,
[tex]\frac{x}{x+16}[/tex] [tex]= 80\%[/tex]
[tex]\frac{x}{x+16} = \frac{80}{100} \\[/tex]
By cross multiplication,
[tex]100\times x = 80(x+16)\\100x = 80x + 1280\\[/tex]
By subtracting both side by [tex]80x[/tex]
[tex]100x - 80 x = 1280\\20x = 1280[/tex]
By dividing both side by 20
[tex]x = 64[/tex]
Thus, numerator = [tex]x[/tex] = 64
Then the denominator = [tex]x + 16[/tex]
= 64 + 16 =80