9514 1404 393
Answer:
the denominator of each fraction is 2
Step-by-step explanation:
The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...
![\dfrac{7}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B2%7D)
the numerator is 7, and the denominator is 2.
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Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...
![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
The numerator is 1, and the denominator is 2.
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The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the <em>common denominator</em> of the sum or difference of these fractions:
![\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B7%2B1%7D%7B2%7D%5Cqquad%5Ctext%7Bor%7D%5Cqquad%5Cdfrac%7B7%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B7-1%7D%7B2%7D)