Compare each fraction to the benchmark 1/5_1/2 3/4_ 1/2
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
1/5 > 1/2:
We can see that 1/5 is smaller than 1/2. Therefore, 1/5 is less than the benchmark.
3/4 > 1/2:
Here, we can observe that 3/4 is greater than 1/2. Consequently, 3/4 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/5 < 1/2
3/4 > 1/2
now use the information to compare the two fractions 1/5_ 3/4
Based on the previous comparison to the benchmark, we know that 1/5 is less than the benchmark (1/2) and that 3/4 is greater than the benchmark.
Comparing 1/5 and 3/4 directly:
1/5 < 3/4
Therefore, 1/5 is less than 3/4.
Compare each fraction to the benchmark 1/8_ 1 9/6 _ 1
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
1/8 < 1:
Here, we can see that 1/8 is smaller than 1. So, 1/8 is less than the benchmark.
1 9/6 = 1 + 9/6 = 1 + 3/2 = 2 3/2:
After converting the mixed fraction 1 9/6 into an improper fraction, we get 2 3/2.
Comparing 2 3/2 and 1:
We observe that 2 3/2 is greater than 1. Therefore, 2 3/2 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/8 < 1
2 3/2 > 1
Now use the information to compare the two fractions 1/8 _ 9/6
Based on the previous comparison to the benchmark, we know that 1/8 is less than 1 and that 9/6 is greater than 1.
Comparing 1/8 and 9/6 directly:
1/8 < 9/6
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 8 x 6 = 48. Multiplying the numerator and denominator of each fraction by the appropriate factor:
1/8 = 6/48
9/6 = 72/48
Now, we can compare the fractions:
6/48 < 72/48
Since the numerators now have the same denominator, we can directly compare them. We can see that 6/48 is less than 72/48.
Therefore, 1/8 is less than 9/6.
Compare each fraction to the benchmark 2/10_1/4 4/9_ 1/4
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
2/10 = 1/5 > 1/4:
Here, we can see that 1/5 is greater than 1/4. So, 2/10 is greater than the benchmark.
4/9 > 1/4:
We can observe that 4/9 is greater than 1/4. Therefore, 4/9 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
2/10 > 1/4
4/9 > 1/4