What number will make the fractions equivalent?
7/12 = ?/48
To find the equivalent fraction, we need to determine the number that can be multiplied to both the numerator and the denominator of the given fraction (7/12) in order to obtain the desired denominator of 48.
To do this, we can calculate the common factor between the given denominator (12) and the desired denominator (48). In this case, we divide the desired denominator (48) by the given denominator (12):
48 ÷ 12 = 4
So, the number that can be multiplied to both the numerator and denominator is 4. To find the numerator of the equivalent fraction, we multiply the numerator of the given fraction (7) by this number:
7 × 4 = 28
Therefore, the equivalent fraction is:
7/12 = 28/48
To make the fractions equivalent, we need to find the missing number in the numerator of the second fraction that will result in an equivalent fraction when the denominators are the same.
To do this, we can set up a proportion:
7/12 = x/48.
To solve for x, we can cross multiply:
7 * 48 = 12 * x.
336 = 12x.
Divide both sides of the equation by 12:
x = 336/12.
Simplifying the fraction, we get:
x = 28.
Therefore, the missing number is 28. Thus, the equivalent fraction is 7/12 = 28/48.