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Galina-37 [17]
3 years ago
12

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

Mathematics
2 answers:
svetlana [45]3 years ago
7 0
Et the numerator be x, so the denominator is x + 4. So we have: 

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

<span>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. </span>

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

<span>Thus, 6/10 is the required fraction. hope  i helped</span>
Rasek [7]3 years ago
6 0
\frac{x}{x + 4} = \frac{9}{15}
\frac{x}{x + 4} = \frac{3}{5}
5x = 3(x + 4)
5x = 3(x) + 3(4)
5x = 3x + 12
5x - 3x = 3x - 3x + 12
\frac{2x}{2} = \frac{12}{2}
x = 6
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