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rewrite it in a format so i can copy paste it

Step 1: DistributeFor (2/5):First, let's multiply (2/5) with (3/4 p): (2 * 3) / (5 * 4) = 6 / 20 = 3/10 pNow, multiply (2/5) with (5/6 w): (2 * 5) / (5 * 6) = 10 / 30 = 1/3 wThe first part gives us: 3/10 p + 1/3 wFor (1/5):First, multiply (1/5) with (1/2 p): (1 * 1) / (5 * 2) = 1/10 pNow, let's multiply (1/5) with (6 2/3 w):We need to change 6 2/3 into a fraction: 6 2/3 = 20/3Now multiply (1/5) with (20/3): 20 / 15 = 4/3 w (but it's negative, so -4/3 w)The second part gives us: 1/10 p - 4/3 wStep 2: CombineNow, we combine both parts: (3/10 p + 1/3 w) + (1/10 p - 4/3 w)Combine the p terms: 3/10 p + 1/10 p = 4/10 p = 2/5 pCombine the w terms: 1/3 w - 4/3 w = -3/3 w = -wFinal ResultSo, the simplified expression is: 2/5 p - w

1 answer

Sure! Here is the rewritten content in a format you can easily copy and paste:

Step 1: Distribute

For (2/5):
First, let's multiply (2/5) with (3/4 p):
(2 * 3) / (5 * 4) = 6 / 20 = 3/10 p

Now, multiply (2/5) with (5/6 w):
(2 * 5) / (5 * 6) = 10 / 30 = 1/3 w

The first part gives us: 3/10 p + 1/3 w

For (1/5):
First, multiply (1/5) with (1/2 p):
(1 * 1) / (5 * 2) = 1/10 p

Now, let's multiply (1/5) with (6 2/3 w):
We need to change 6 2/3 into a fraction: 6 2/3 = 20/3

Now multiply (1/5) with (20/3):
20 / 15 = 4/3 w (but it's negative, so -4/3 w)

The second part gives us: 1/10 p - 4/3 w

Step 2: Combine

Now, we combine both parts:
(3/10 p + 1/3 w) + (1/10 p - 4/3 w)

Combine the p terms:
3/10 p + 1/10 p = 4/10 p = 2/5 p

Combine the w terms:
1/3 w - 4/3 w = -3/3 w = -w

Final Result:
So, the simplified expression is: 2/5 p - w