Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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
Panoyin
[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]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.