48x + 32y/32

I have 48x/32 & 32y/32 = 3x/2 + 2y/2 = 3x/2 + y

Am I working this correctly?

Also 25a + 5b + 15c/10
would I be correct to divide by 5?

You must use brackets to establish the correct order of operation.

According to your steps, the question was:

(48x + 32y)/32

= 48x/32 + 32y/32
= 3x/2 + y

you have the correct answer.

<Also 25a + 5b + 15c/10
would I be correct to divide by 5?>

yes, but again you will need brackets.
The way you typed it, only the 15c is divided by 10

(25a + 5b + 15c)/10
= 5(5a + b + 3c)/10
= (5a + b + 3c)/2
or
= 5a/2 + b/2 + 3c/2

either answer is correct.

You are correct

Let's go through each expression step by step to check your work:

1. 48x + 32y/32:
- First, we need to simplify the expression within the parentheses: 32y/32 = y.
- Then, the expression becomes 48x + y.

So, you are correct. The simplified expression is 48x + y.

2. 25a + 5b + 15c/10:
- First, we simplify the expression within the parentheses: 15c/10 = 3c/2.
- Then, we have 25a + 5b + 3c/2.

To simplify this further, we cannot directly divide by 5, as it is only affecting the "5b" term. However, we can factor out a common factor of 5 from the coefficients of "5b" and "3c/2." Keep in mind that when factoring out a common factor, it applies to all terms involved. Let's do that:

- 25a + 5b + 3c/2 = 5(5a + b) + 3c/2

So, you are partially correct. The expression can be factored out by 5, but further simplification is possible by factoring out a 2 from the "3c/2" term if desired.

Let's break down your expressions step by step to determine if you are working them correctly:

For the first expression, 48x + 32y/32:

1. First, perform the division operation: 32y/32 = y.
2. Now, you have 48x + y.

So, your simplification for 48x + 32y/32 is correct: 48x + 32y/32 = 48x + y.

For the second expression, 25a + 5b + 15c/10:

1. Start by simplifying the expression within the division: 15c/10 = (15/10)c = (3/2)c.
2. Now, you have 25a + 5b + (3/2)c.

Dividing the whole expression by 5 would be incorrect, as it would affect all the terms in the expression, not just the last one. The correct simplification for 25a + 5b + 15c/10 is 25a + 5b + (3/2)c.