Which number would replace X to make these fractions equivalent?
6/X=9/12 (1 point)
X =[___]
X = 8
To find the value of X that would make the fractions equivalent, we can use the property of equivalent fractions which states that if we multiply the numerator and denominator of a fraction by the same number, the resulting fraction is equivalent.
In this case, we can see that the denominator of the first fraction is X, while the denominator of the second fraction is 12. To make the denominators the same, we need to multiply the first fraction's denominator (X) by 12.
So, we can write the equation as: 6/X = 9/12.
To find the value of X, we can cross-multiply:
6 * 12 = X * 9.
72 = 9X.
To solve for X, we divide both sides of the equation by 9:
72/9 = X.
X = 8.
Therefore, the number that would replace X to make the fractions equivalent is 8.
To determine the value of X, you can set up a proportion where the ratios of the numerators to the denominators are equal. In this case, the given proportion is:
6/X = 9/12
To solve for X, you can cross-multiply. This means multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa. It can be written as:
(6 * 12) = (9 * X)
Simplifying the equation gives you:
72 = 9X
To isolate X, divide both sides of the equation by 9:
72/9 = X
X = 8
Therefore, the number that would replace X to make the fractions equivalent is 8.