Compare each fraction to the benchmark 1/4_1/2 3/3_1/2 now use the information to compare the two fractions
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.
To compare the fractions to the benchmark, we can convert each fraction to a common denominator of 4.
1/4 is already in the form of the benchmark.
For 1/2, we can rewrite it as 2/4 since 2 multiplied by 1/4 gives us 2/4.
For 3/3, this is equivalent to 1 whole, which can also be written as 4/4 since 4 multiplied by 1/4 gives us 4/4.
So the fractions, in comparison to the benchmark 1/4, are:
1/4, 2/4, 4/4, and 1/2.
To compare the fractions 2/4 and 1/2, we can look at the numerator. In both cases, the numerator is 1, but the denominators are different.
Since the numerator is the same, the fraction with the smaller denominator, 2/4, is greater than the fraction with the larger denominator, 1/2.
Therefore, 2/4 is greater than 1/2 when compared to the benchmark fraction 1/4.
To compare fractions, we need to determine whether they are greater than, less than, or equal to each other. We can use benchmarks, such as 1/4 and 1/2, to help us with the comparison.
Let's compare each fraction to the benchmark 1/4:
1/4 compared to 1/4: Since they have the same numerator and denominator, they are equal.
1/2 compared to 1/4: The numerator 1 in 1/2 is greater than the numerator 1 in 1/4, so 1/2 is greater than 1/4.
3/3 compared to 1/4: The numerator 3 is greater than the numerator 1 in 1/4, so 3/3 is greater than 1/4.
Now, let's compare each fraction to the benchmark 1/2:
1/4 compared to 1/2: The numerator 1 in 1/4 is less than the numerator 1 in 1/2, so 1/4 is less than 1/2.
1/2 compared to 1/2: Since they have the same numerator and denominator, they are equal.
3/3 compared to 1/2: The numerator 3 is greater than the numerator 1 in 1/2, so 3/3 is greater than 1/2.
Based on these comparisons, we can conclude that:
1/4 < 1/2
3/3 > 1/2