Answer :
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
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]
[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]
