complete to find equivalent fractions
3/4=3/4* / = /
3/4 = 3/4 * 5/5 = 15/20
is one of an infinite number of possibilities
To find equivalent fractions, you can multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number. Let's find the missing numbers to complete the equation 3/4 = 3/4 * x / y = a / b.
To find the missing numerator (x), we need to multiply the numerator of 3/4 by the same number we multiply the denominator by. Since 3/4 is already in its simplest form, we can choose any non-zero number to multiply both the numerator and denominator by.
Let's say we multiply both the numerator and denominator by 2:
3/4 * 2/2 = (3 * 2)/ (4 * 2) = 6/8
Therefore, the missing numerator (x) is 6.
Now, to find the missing denominator (y), we can follow the same process. Since we already multiplied by 2, we can choose any non-zero number to divide both the numerator and denominator by.
Let's say we divide both the numerator and denominator by 3:
6/8 * (1/3) / (1/3) = (6 * (1/3)) / (8 * (1/3)) = 2/3
Therefore, the missing denominator (y) is 3.
Finally, the completed equation is:
3/4 = 3/4 * 6/3 = 18/12
So, the missing fraction is 18/12.