Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

A fraction has a denominator that is 4 greater than its numerator. It is equivalent to 9/15. What is the fraction?

Sagot :

et the numerator be x, so the denominator is x + 4. So we have: 

x/(x + 4) = 9/15 (cross multiply) 
15x = 9(x + 4) 
15x = 9x + 36 
15x - 9x = 9x - 9x + 36 
6x = 36 
6x/6 = 36/6
x = 6
x + 4 = 6 + 4 = 10

Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5. 

Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15. 

Thus, 6/10 is the required fraction. hope  i helped
[tex]\frac{x}{x + 4} = \frac{9}{15} [/tex]
[tex]\frac{x}{x + 4} = \frac{3}{5} [/tex]
[tex]5x = 3(x + 4)[/tex]
[tex]5x = 3(x) + 3(4)[/tex]
[tex]5x = 3x + 12[/tex]
[tex]5x - 3x = 3x - 3x + 12[/tex]
[tex]\frac{2x}{2} = \frac{12}{2}[/tex]
[tex]x = 6[/tex]