Question

Which expression represents 10 y (3 over 5 y)?

6 y
53 over 5 y
6 y squared
53 over 5 y squared

Answer 1

To simplify the expression \(10y \cdot \frac{3}{5y}\), you can follow these steps:

1. First, rewrite the expression:
\[
10y \cdot \frac{3}{5y}
\]

2. Now, multiply the numerical coefficients and the variables:
\[
= \frac{10 \cdot 3}{5} \cdot \frac{y}{y}
\]

3. Simplify the numerical part:
\[
= \frac{30}{5} \cdot 1
\]
\[
= 6
\]

Since the \(y\) in the numerator and denominator cancels out, the final result is just \(6\).

So, the expression \(10y \cdot \frac{3}{5y}\) simplifies to \(6\).

Among the options given, the answer is:
- \(6y\) (but note that we've shown \(6\) without \(y\)), so there's a mismatch with choices.

If it’s \(6y\) that was intended to be compared, then it could be taken as the closest to the output derived from the provided operation (as \(6\) without context could relate to there being no dependency on \(y\) at all).

However, strictly speaking, the correct simplification is just \(6\) and does not depend on \(y\).