Which equivalent fraction makes this number sentence true? 2/3=4/6=?
a. 5/7
b. 8/12
c. 6/12
d. 10/5
8/12
To determine which equivalent fraction makes the number sentence true, we need to find a fraction that is equal to 2/3.
To find an equivalent fraction, we can multiply or divide the numerator and denominator of the fraction by the same number.
In this case, we need to find a fraction that has the same value as 2/3, but with a different numerator and denominator. Since the denominator of 2/3 is 3, we can find an equivalent fraction by multiplying the numerator and denominator by the same number.
To convert 2/3 to an equivalent fraction with a denominator of 6 (like 4/6), we need to multiply both the numerator and denominator of 2/3 by 2:
2/3 * 2/2 = 4/6
Therefore, the equivalent fraction that makes 2/3 = 4/6 true is c. 6/12.