Which benchmark is between 7/12 and 7/6
To find a benchmark between 7/12 and 7/6, we can simplify the fractions to have a common denominator.
7/12 = 42/72
7/6 = 84/72
Now we can see that there are many benchmarks between 42/72 and 84/72. Some examples include:
- 45/72
- 50/72
- 60/72
- 70/72
These benchmarks fall between 7/12 and 7/6.
1/2 or 1
The benchmark that falls between 7/12 and 7/6 is 1/2 or 1.
To find the benchmark number between 7/12 and 7/6, we need to find the average (mean) of the two fractions.
First, we can convert the fractions to have a common denominator. The least common multiple (LCM) of 12 and 6 is 12.
7/12 = (7/12) * (1/1) = 7/12
7/6 = (7/6) * (2/2) = 14/12
Now, we can find the average:
(7/12 + 14/12) / 2 = 21/12 / 2 = 21/24 = 7/8
Therefore, the benchmark number between 7/12 and 7/6 is 7/8.
To determine which benchmark is between 7/12 and 7/6, we need to find a common denominator for both fractions. The common denominator for 12 and 6 is 12.
Now, we can convert both fractions to have a denominator of 12:
7/12 = (7/12) * (12/12) = 84/12
7/6 = (7/6) * (2/2) = 14/12
Now, we have 84/12 and 14/12.
To find the benchmark between these two fractions, we need to find the fraction that lies exactly halfway between them. We can average the two fractions together to find the midpoint:
(84/12 + 14/12) / 2 = 98/24
So, the benchmark between 7/12 and 7/6 is 98/24.