Between which two numbers is 2/3?

To determine the correct placement of the fraction 2/3 on the number line, it is essential to convert the fraction to a decimal for clarity. The fraction 2/3 is equivalent to approximately 0.6667 in decimal form.

Now, examining the range provided in the second choice, between 1/2 and 3/4, which are 0.5 and 0.75 in decimal, shows that 0.6667 falls between these two values.

Moreover, it is evident that 2/3 is larger than 1/2 (0.5) and smaller than 3/4 (0.75). This confirms that 2/3 is correctly positioned between these two numbers.

In contrast, the other ranges do not contain the decimal value of 0.6667, which is definitive for positioning the fraction. Understanding this placement is vital for recognizing the relationship between fractions and their corresponding decimal values on a number line.