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.
