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!