Fill in the missing sign:
64☐125
To solve this problem, we'll follow these steps:
- Step 1: Identify a common denominator for both fractions.
- Step 2: Adjust each fraction to have this same denominator.
- Step 3: Compare the numerators of the converted fractions.
Now, let's work through each step:
Step 1: The denominators of the given fractions are 6 and 12. The least common multiple (LCM) of 6 and 12 is 12.
Step 2: Convert 64 to have a denominator of 12:
64=6×24×2=128
The fraction 125 already has the denominator 12, so it remains:
125=125
Step 3: Compare the numerators of the fractions 128 and 125.
We have 8>5.
Therefore, 128>125, which implies 64>125.
Thus, the correct comparison sign is >.