is 5 1/7 between 5 and 5 1/4

Yes, 5 1/7 is between 5 and 5 1/4.

is 5 2/3 between 5 and 5 1/4

No, 5 2/3 is not between 5 and 5 1/4. It is larger than both 5 and 5 1/4.

is 5 1/3 between 5 and 5 1/4

Yes, 5 1/3 is between 5 and 5 1/4.

To determine if 5 1/7 is between 5 and 5 1/4, we can compare the given number to the two boundaries.

Step 1: Convert all the numbers to the same format.

5 can be written as 5/1 and 5 1/4 can be written as 21/4.

Step 2: Find a common denominator.

The denominators are already different, so we need to find a common denominator. The least common multiple (LCM) of 1 and 4 is 4.

Step 3: Convert all the fractions to the common denominator.

5/1 remains the same.

5 1/4 becomes (5 * 4 + 1) / 4 = 21/4.

Step 4: Compare the fractions.

Now we can compare 5/1, 5 1/7, and 21/4:

5/1 < 5 1/7 < 21/4.

Therefore, 5 1/7 is indeed between 5 and 5 1/4.

To determine if 5 1/7 is between 5 and 5 1/4, you can compare their decimal or fraction forms.

First, let's convert all the numbers to fractions with a common denominator:

5 = 35/7
5 1/4 = 21/4
5 1/7 = 36/7

Now we can see that:
35/7 < 36/7 < 21/4

Since 36/7 is greater than 35/7 and less than 21/4, we can conclude that 5 1/7 is indeed between 5 and 5 1/4.