What is a common factor for the two fractional terms StartFraction 5 over 8 EndFraction x andStartFraction 11 over 8 EndFraction x y? The terms can be written as 5StartFraction 1 over 8 EndFraction(x) and 11StartFraction 1 over 8 EndFractionxy. 5 StartFraction 1 over 8 EndFraction x StartFraction 5 over 8 EndFraction y

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Answer:

[tex]\frac{1}{8x}[/tex]

Step-by-step explanation:

Given two fractional terms [tex]\frac{5}{8x}\ and\ \frac{11}{8xy}[/tex]. Their common factor is a value or function that can go in both fractional terms. The terms can be written as shown.

[tex]\frac{5}{8x} = 5 *\frac{1}{8x}[/tex]

[tex]\frac{11}{8xy} = 11 * \frac{1}{8x} * \frac{1}{y}[/tex]

It can be seen from the both equations that they both have [tex]\frac{1}{8x}[/tex] as one of their factors i.e 1/8x is common to both fractional terms. This gives the common factor for the two fractional terms as [tex]\frac{1}{8x}[/tex]

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Answer:

B. 1/8x

Step-by-step explanation: