Question

How to solve this math problem step by step tell me how to do it. I need to know to do it instead giving me the answer. A fraction has denominator that is 4 greater than its numerator. it is equivalent to 9/15. What is the fraction?

Answer 1

Answer: 9/15 or 3/5

Step-by-step explanation:

This is world problems leading to the linear equation.

Now listen, in a fraction, a/b where a = numerator and b = denominator

Now let the denominator = x and the denominator = x + 4 since the denominator is four greater than the the numerator.

From the question, the value of the fraction = 9/15 or 3/5 in its lowest term.

Now to get the fraction,

Organise the fraction base on the statements above

x

------ , now equate it to 9/15 of 3/5

x + 4

in it's lowest term.

x/x +4. = 9/15

x. 9

------- = -----

x + 4. 15

Now convert it to a linear expression by cross multiply

15x = 9( x + 4 ), now solve for x by opening the bracket by multiplying through by 9, and collect like terms.

15x = 9x + 36

15x - 9x = 36

6x = 36

x = 6.

Therefore, substitute for those values in the fraction above

x 6. 6. 3

------ = ------- = ------ = ----

x + 4 6 + 4. 10. 5

Now the original fraction is

9/15 or 3/5 ( 3 is a common factor to both the numerator and the denominator )

Just go through it step by step bearing the explanation in mind.