What is the simplified form of the expression 3/5x + x?

What is the simplified form of the expression 3/5x + x?

• A. 7/5x
• B. 8/5x
• C. 9/5x
• D. 6/5x

Answer: (B)

To simplify the expression \( \frac{3}{5}x + x \), you first need to express \( x \) in terms of fifths so that it can be combined with \( \frac{3}{5}x \). Recognizing that \( x \) is equivalent to \( \frac{5}{5}x \), you can rewrite the expression as follows: \[ \frac{3}{5}x + \frac{5}{5}x \] Now, both terms on the left side share a common denominator, which allows them to be combined: \[ \frac{3 + 5}{5}x = \frac{8}{5}x \] Thus, the correct simplified form of the expression is \( \frac{8}{5}x \). This reflects the addition of the coefficients (3 and 5) under a common denominator of 5, providing a coherent and unified expression for the variable \( x \).

To simplify the expression ( \frac{3}{5}x + x ), you first need to express ( x ) in terms of fifths so that it can be combined with ( \frac{3}{5}x ). Recognizing that ( x ) is equivalent to ( \frac{5}{5}x ), you can rewrite the expression as follows:

[

\frac{3}{5}x + \frac{5}{5}x

]

Now, both terms on the left side share a common denominator, which allows them to be combined:

[

\frac{3 + 5}{5}x = \frac{8}{5}x

]

Thus, the correct simplified form of the expression is ( \frac{8}{5}x ). This reflects the addition of the coefficients (3 and 5) under a common denominator of 5, providing a coherent and unified expression for the variable ( x ).