Simplify 3/10x + 16y + 3/10x + 3/6y Be sure to reduce any fractions to the lowest terms.

Answer 1

To simplify the expression \( \frac{3}{10}x + 16y + \frac{3}{10}x + \frac{3}{6}y \), we can start by combining like terms.

First, let's combine the terms with \( x \):

\[ \frac{3}{10}x + \frac{3}{10}x = 2 \cdot \frac{3}{10}x = \frac{6}{10}x \]

Next, let's simplify \( \frac{6}{10}x \):

\[ \frac{6}{10} = \frac{3}{5} \]

So, \( \frac{6}{10}x = \frac{3}{5}x \).

Now, we will combine the terms with \( y \):

\[ 16y + \frac{3}{6}y \]

First, simplify \( \frac{3}{6}y \):

\[ \frac{3}{6} = \frac{1}{2} \]

Now, we have:

\[ 16y + \frac{1}{2}y \]

To combine these, convert \( 16y \) into a fraction with a common denominator of 2:

\[ 16y = \frac{32}{2}y \]

Now we can add:

\[ \frac{32}{2}y + \frac{1}{2}y = \frac{32 + 1}{2}y = \frac{33}{2}y \]

Putting it all together, we have:

\[ \frac{3}{5}x + \frac{33}{2}y \]

Thus, the simplified expression is:

\[ \frac{3}{5}x + \frac{33}{2}y \]

Answer 2

Wrong.

Answer 3

Let's revisit the expression \( \frac{3}{10}x + 16y + \frac{3}{10}x + \frac{3}{6}y \) step by step to ensure accuracy in the simplification.

1. Combine the \( x \) terms: \[ \frac{3}{10}x + \frac{3}{10}x = 2 \cdot \frac{3}{10}x = \frac{6}{10}x \]

   We can simplify \( \frac{6}{10}x \): \[ \frac{6}{10}x = \frac{3}{5}x \]

2. Combine the \( y \) terms: Start by simplifying \( \frac{3}{6}y \): \[ \frac{3}{6}y = \frac{1}{2}y \]

   Now combine this with \( 16y \): \[ 16y + \frac{1}{2}y \]

   Convert \( 16y \) into a form that can add to \( \frac{1}{2}y \): \[ 16y = \frac{32}{2}y \]

   Now add: \[ \frac{32}{2}y + \frac{1}{2}y = \frac{32 + 1}{2}y = \frac{33}{2}y \]

Putting it all together, we have: \[ \frac{3}{5}x + \frac{33}{2}y \]

So the final simplified expression is: \[ \frac{3}{5}x + \frac{33}{2}y \]

If there was a specific area where you expected a different step or result, please let me know, and I can address that directly!

Answer 4

33/2y Is wrong.

Answer 5

My apologies for any confusion in my previous responses. Let's simplify the expression step by step accurately:

Given:

\[ \frac{3}{10}x + 16y + \frac{3}{10}x + \frac{3}{6}y \]

Step 1: Combine the \( x \) terms

Combine the \( x \) terms: \[ \frac{3}{10}x + \frac{3}{10}x = 2 \cdot \frac{3}{10}x = \frac{6}{10}x \] Now simplify \( \frac{6}{10}x \): \[ \frac{6}{10} = \frac{3}{5} \] So: \[ \frac{6}{10}x = \frac{3}{5}x \]

Step 2: Combine the \( y \) terms

First, simplify \( \frac{3}{6}y \): \[ \frac{3}{6}y = \frac{1}{2}y \]

Now combine \( 16y \) and \( \frac{1}{2}y \): To add these, convert \( 16y \) into a fraction with a common denominator of 2: \[ 16y = \frac{32}{2}y \]

Now add: \[ \frac{32}{2}y + \frac{1}{2}y = \frac{32 + 1}{2}y = \frac{33}{2}y \]

Combine the results:

Now putting everything together:

\[ \frac{3}{5}x + \frac{33}{2}y \]

Conclusion

Thus, the simplified expression is:

\[ \frac{3}{5}x + \frac{33}{2}y \]

If there is still an issue with \( \frac{33}{2}y \), please clarify so I can provide the correct answer. Thank you for your patience!