Compare each fraction to the benchmark 1/4_1/2 3/3_1/2 now use the information to compare the two fractions

5 answers

To compare each fraction to the benchmark 1/4:

- 1/2 is greater than 1/4 because 1/2 is half of a whole, while 1/4 is less than half.

- 3/3 is equivalent to 1 whole. 1 whole is greater than 1/4 because it represents a full quantity.

Now, using this information to compare the two fractions:
1/2 is greater than 1/4, and 3/3 is also greater than 1/4. Therefore, both fractions are greater than the benchmark 1/4.
Which benchmark is between 4/12 and 3/4
To find the benchmark between 4/12 and 3/4, we can simplify both fractions:

4/12 can be simplified to 1/3 by dividing both the numerator and denominator by 4.
3/4 cannot be simplified further.

Now, we have 1/3 and 3/4. To find the benchmark between these two fractions, we can find a common denominator for both fractions, which is 12:

1/3 can be converted to 4/12 by multiplying both the numerator and denominator by 4.

Now, we have 4/12 and 3/4. The benchmark between these two fractions is (4/12 + 3/4) / 2.

Adding the fractions, we get (16/48 + 36/48) / 2 = 52/48 / 2.

Simplifying 52/48 to lowest terms, we get 13/12.

Therefore, the benchmark between 4/12 and 3/4 is 13/12.
1/2 or 1
1/2 or 1

Comparing the two fractions, we can see that 1/2 is less than 1.

Therefore, 1 is greater than 1/2.