is 2/3 larger than 4/7

Yes.

2/3 = 14/21

4/7 = 12/21

To determine whether 2/3 is larger than 4/7, we can compare their values.

To make the comparison easier, we need to have a common denominator for both fractions. The least common multiple (LCM) of 3 and 7 is 21.

To convert 2/3 to its equivalent fraction with a denominator of 21, we need to multiply the numerator and denominator by 7: (2/3) x (7/7) = 14/21.

Similarly, to convert 4/7 to its equivalent fraction with a denominator of 21, we need to multiply the numerator and denominator by 3: (4/7) x (3/3) = 12/21.

Now we have 14/21 and 12/21, both with the same denominator. Comparing the numerators, we see that 14 is indeed larger than 12.

Therefore, 2/3 is larger than 4/7.