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Change the mixed expressions to fractions: y-1-(5/y+3)

A. y - 1 - (5y + 3) / y
B. y - 1 - 5 / (y + 3)
C. y - 1 + 5 / (y - 3)

User Dstibbe
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1 Answer

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Final answer:

The mixed expression y - 1 - (5/y + 3) is correctly expressed as a single fraction in option B: y - 1 - 5 / (y + 3).

Step-by-step explanation:

The question is asking to change the mixed expression to a fraction. The mixed expression given is y - 1 - (5/y + 3). To convert this into a fraction, we must keep the terms in a single fraction by finding a common denominator. Since 'y' and 'y + 3' cannot be directly combined, we look for a way to unify them. The common denominator for the terms involving 'y' would be 'y * (y + 3)'.

However, in the provided expressions, there's no need for this as we just have a subtraction involving an integer, a variable, and a fraction with a variable in the denominator. Without altering the original expression, the correctly formatted answer is y - 1 - 5 / (y + 3). No algebraic manipulation is required as the goal is just to express the mixed expression as a whole.

User Viraj Padsala
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