What number can replace x in this equation to make the two fractions equivalent? x/9 = 9/27(1 point)
To make the two fractions equivalent, we need to find the same value for both the numerator and denominator.
In the given equation, x/9 = 9/27, we can simplify the fraction on the right side by dividing the numerator and denominator by their greatest common divisor, which is 9.
9/27 = (9 ÷ 9) / (27 ÷ 9)
= 1/3
Therefore, x/9 = 1/3.
To find the value of x, we can solve for x by cross-multiplying:
(1)(9) = (3)(x)
9 = 3x
Dividing by 3 on both sides of the equation, we get:
9/3 = x
3 = x
So, the number that can replace x in the equation to make the two fractions equivalent is 3.