Let's simplify the expression:
(2/5)(3/4 p + 5/6 w) + (1/5)(1/2 p - 6 2/3 w).
First, distribute to get (3/10 p + 1/3 w) + (1/10 p - 4/3 w), then combine the parts to find that the final result is 2/5 p - w.
rewrite this simplerand in 3 sentences
Let's simplify the expression:
(2/5)(3/4 p + 5/6 w) + (1/5)(1/2 p - 6 2/3 w)
Step 1: Distribute
1. For (2/5):
- Multiply (2/5) by (3/4 p):
(2 * 3) / (5 * 4) = 6 / 20 = 3/10 p
- Multiply (2/5) by (5/6 w):
(2 * 5) / (5 * 6) = 10 / 30 = 1/3 w
First part result:
3/10 p + 1/3 w
2. For (1/5):
- Multiply (1/5) by (1/2 p):
(1 * 1) / (5 * 2) = 1/10 p
- Multiply (1/5) by (6 2/3 w):
- Change 6 2/3 to an improper fraction:
6 2/3 = 20/3
- Multiply (1/5) by (20/3):
20 / 15 = 4/3 w (but it's negative, so -4/3 w)
Second part result:
1/10 p - 4/3 w
Step 2: Combine
Combine the two parts:
(3/10 p + 1/3 w) + (1/10 p - 4/3 w)
1. Combine p terms:
3/10 p + 1/10 p = 4/10 p = 2/5 p
2. Combine w terms:
1/3 w - 4/3 w = -3/3 w = -w
Final Result
So, the simplified expression is:
2/5 p - w
3 answers
a little more specific
Let's simplify the expression step by step:
Start with (2/5)(3/4 p + 5/6 w) + (1/5)(1/2 p - 6 2/3 w). First, distribute: (2/5) gives us 3/10 p + 1/3 w, and (1/5) gives us 1/10 p - 4/3 w. Now, combine the terms to get 2/5 p - w as the final result.