Question
Compare each fraction to the benchmark 1/5_1/2 3/4_ 1/2
Answers
Answer
now use the information to compare the two fractions 1/5_ 3/4
Answer
Compare each fraction to the benchmark 1/8_ 1 9/6 _ 1
Answer
Now use the information to compare the two fractions 1/8 _ 9/6
Answer
Compare each fraction to the benchmark 2/10_1/4 4/9_ 1/4
Answer
now use the information to compare the two fractions 2/10 _ 4/9
Answer
Compare each fraction to the benchmark 1/7_1/4 9/12_1/4 now use the information to compare the two fractions 1/7_9/12
Answer
Compare each fraction to the benchmark 2/7_1/4 2/11_1/4 now use the information to compare the two fractions 2/7_2/11
Answer
Compare each fraction to the benchmark 5/4_1 6/7_1 now use the information to compare the two fractions 5/4_6/7
Answer
Compare each fraction to the benchmark 1/3_1/4 1/9_1/4 now use the information to compare the two fractions 1/3_1/9
Answered by
GPT 3.5
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
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
Answered by
GPT 3.5
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.
Comparing 1/5 and 3/4 directly:
1/5 < 3/4
Therefore, 1/5 is less than 3/4.
Answered by
GPT 3.5
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
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
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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
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
Answered by
GPT 3.5
Based on the previous comparison to the benchmark, we know that 2/10 is greater than the benchmark (1/4) and that 4/9 is also greater than the benchmark.
Comparing 2/10 and 4/9 directly:
2/10 < 4/9
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 10 x 9 = 90. Multiplying the numerator and denominator of each fraction by the appropriate factor:
2/10 = 18/90
4/9 = 40/90
Now, we can compare the fractions:
18/90 < 40/90
Since the numerators now have the same denominator, we can directly compare them. We can see that 18/90 is less than 40/90.
Therefore, 2/10 is less than 4/9.
Comparing 2/10 and 4/9 directly:
2/10 < 4/9
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 10 x 9 = 90. Multiplying the numerator and denominator of each fraction by the appropriate factor:
2/10 = 18/90
4/9 = 40/90
Now, we can compare the fractions:
18/90 < 40/90
Since the numerators now have the same denominator, we can directly compare them. We can see that 18/90 is less than 40/90.
Therefore, 2/10 is less than 4/9.
Answered by
GPT 3.5
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
1/7 < 1/4:
We can see that 1/7 is smaller than 1/4. Therefore, 1/7 is less than the benchmark.
9/12 = 3/4 > 1/4:
Here, we can observe that 9/12 is greater than 1/4. Consequently, 9/12 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/7 < 1/4
9/12 > 1/4
Now, let us compare the two fractions directly:
1/7 < 9/12
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 7 x 12 = 84. Multiplying the numerator and denominator of each fraction by the appropriate factor:
1/7 = 12/84
9/12 = 63/84
Now, we can compare the fractions:
12/84 < 63/84
Since the numerators now have the same denominator, we can directly compare them. We can see that 12/84 is less than 63/84.
Therefore, 1/7 is less than 9/12.
1/7 < 1/4:
We can see that 1/7 is smaller than 1/4. Therefore, 1/7 is less than the benchmark.
9/12 = 3/4 > 1/4:
Here, we can observe that 9/12 is greater than 1/4. Consequently, 9/12 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/7 < 1/4
9/12 > 1/4
Now, let us compare the two fractions directly:
1/7 < 9/12
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 7 x 12 = 84. Multiplying the numerator and denominator of each fraction by the appropriate factor:
1/7 = 12/84
9/12 = 63/84
Now, we can compare the fractions:
12/84 < 63/84
Since the numerators now have the same denominator, we can directly compare them. We can see that 12/84 is less than 63/84.
Therefore, 1/7 is less than 9/12.
Answered by
GPT 3.5
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
2/7 > 1/4:
We can see that 2/7 is greater than 1/4. Therefore, 2/7 is greater than the benchmark.
2/11 > 1/4:
Here, we can observe that 2/11 is greater than 1/4. Consequently, 2/11 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
2/7 > 1/4
2/11 > 1/4
Now, let's compare the two fractions directly:
2/7 < 2/11
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 7 x 11 = 77. Multiplying the numerator and denominator of each fraction by the appropriate factor:
2/7 = 22/77
2/11 = 14/77
Now, we can compare the fractions:
22/77 > 14/77
Since the numerators now have the same denominator, we can directly compare them. We can see that 22/77 is greater than 14/77.
Therefore, 2/7 is greater than 2/11.
2/7 > 1/4:
We can see that 2/7 is greater than 1/4. Therefore, 2/7 is greater than the benchmark.
2/11 > 1/4:
Here, we can observe that 2/11 is greater than 1/4. Consequently, 2/11 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
2/7 > 1/4
2/11 > 1/4
Now, let's compare the two fractions directly:
2/7 < 2/11
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 7 x 11 = 77. Multiplying the numerator and denominator of each fraction by the appropriate factor:
2/7 = 22/77
2/11 = 14/77
Now, we can compare the fractions:
22/77 > 14/77
Since the numerators now have the same denominator, we can directly compare them. We can see that 22/77 is greater than 14/77.
Therefore, 2/7 is greater than 2/11.
Answered by
GPT 3.5
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
5/4 > 1:
We can see that 5/4 is greater than 1. Therefore, 5/4 is greater than the benchmark.
1 6/7 > 1:
Here, we can observe that 1 6/7 is greater than 1. Consequently, 1 6/7 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
5/4 > 1
1 6/7 > 1
Now, let's compare the two fractions directly:
5/4 > 6/7
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4 x 7 = 28. Multiplying the numerator and denominator of each fraction by the appropriate factor:
5/4 = 35/28
6/7 = 24/28
Now, we can compare the fractions:
35/28 > 24/28
Since the numerators now have the same denominator, we can directly compare them. We can see that 35/28 is greater than 24/28.
Therefore, 5/4 is greater than 6/7.
5/4 > 1:
We can see that 5/4 is greater than 1. Therefore, 5/4 is greater than the benchmark.
1 6/7 > 1:
Here, we can observe that 1 6/7 is greater than 1. Consequently, 1 6/7 is greater than the benchmark.
In summary, when comparing the fractions to the benchmark:
5/4 > 1
1 6/7 > 1
Now, let's compare the two fractions directly:
5/4 > 6/7
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4 x 7 = 28. Multiplying the numerator and denominator of each fraction by the appropriate factor:
5/4 = 35/28
6/7 = 24/28
Now, we can compare the fractions:
35/28 > 24/28
Since the numerators now have the same denominator, we can directly compare them. We can see that 35/28 is greater than 24/28.
Therefore, 5/4 is greater than 6/7.
Answered by
GPT 3.5
To compare each fraction to the benchmark, we need to determine whether each fraction is less than, equal to, or greater than the benchmark:
1/3 < 1/4:
We can see that 1/3 is smaller than 1/4. Therefore, 1/3 is less than the benchmark.
1/9 < 1/4:
Here, we can observe that 1/9 is smaller than 1/4. Consequently, 1/9 is less than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/3 < 1/4
1/9 < 1/4
Now, let us compare the two fractions directly:
1/3 > 1/9
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 3 x 9 = 27. Multiplying the numerator and denominator of each fraction by the appropriate factor:
1/3 = 9/27
1/9 = 3/27
Now, we can compare the fractions:
9/27 > 3/27
Since the numerators now have the same denominator, we can directly compare them. We can see that 9/27 is greater than 3/27.
Therefore, 1/3 is greater than 1/9.
1/3 < 1/4:
We can see that 1/3 is smaller than 1/4. Therefore, 1/3 is less than the benchmark.
1/9 < 1/4:
Here, we can observe that 1/9 is smaller than 1/4. Consequently, 1/9 is less than the benchmark.
In summary, when comparing the fractions to the benchmark:
1/3 < 1/4
1/9 < 1/4
Now, let us compare the two fractions directly:
1/3 > 1/9
To compare fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 3 x 9 = 27. Multiplying the numerator and denominator of each fraction by the appropriate factor:
1/3 = 9/27
1/9 = 3/27
Now, we can compare the fractions:
9/27 > 3/27
Since the numerators now have the same denominator, we can directly compare them. We can see that 9/27 is greater than 3/27.
Therefore, 1/3 is greater than 1/9.
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