2 thirds of 60 is greater than 1 thirds of 120? True or false and explain your reasoning. :)
Thank you, Bella Yang
2/3 * 60 = 120/3 = 40
1/3 * 120 = 120/3 = 40
help tooo
To determine if 2 thirds of 60 is greater than 1 thirds of 120, we can approach it using simple arithmetic.
First, let's calculate 2 thirds of 60:
2/3 * 60 = 40
Next, let's calculate 1 third of 120:
1/3 * 120 = 40
Now, let's compare the two values we obtained: 40 and 40. Since they are equal, 2 thirds of 60 is not greater than 1 third of 120; they are the same. Therefore, the statement is false.
In terms of reasoning, note that when we divide a number by any fraction greater than 1, the result will be smaller than the initial number. Since 2 thirds is larger than 1 third, we would expect 2 thirds of 60 to be larger than 1 third of 120. However, in this particular case, the specific numbers were selected in such a way that the two expressions are equal.