What number can replace x in this equation to make the two fractions equivalent?
x/9=9/27
To make the two fractions equivalent, we need to find a number that can replace x in the equation x/9 = 9/27.
First, we can simplify both fractions by dividing the numerator and denominator by their greatest common divisor (GCD). The GCD of 9 and 27 is 9.
For the fraction 9/27, dividing both the numerator and denominator by 9 gives us 1/3.
So, x/9 = 1/3.
To find the value of x, we can set up a proportion. Cross-multiplying, we have:
3 * x = 1 * 9
3x = 9
Divide both sides of the equation by 3 to solve for x:
x = 9/3
Simplifying the fraction, we have:
x = 3
Therefore, the number that can replace x in the equation to make the two fractions equivalent is 3.