rewrite as a 7th grade and make it simple in under 3 sentences Simplify the following expression. Write your answer in the simplest form. Show your calculations. (2 points) (7.EE.1) 2/5(3/4p + 5/6w) + 1/5(1/2p − 6 2/3w)

Answer 1

To simplify the expression \( \frac{2}{5}\left(\frac{3}{4}p + \frac{5}{6}w\right) + \frac{1}{5}\left(\frac{1}{2}p - 6 \frac{2}{3}w\right) \), we first distribute the fractions.

1. Distributing \( \frac{2}{5} \) gives us \( \frac{3}{10}p + \frac{1}{3}w \).
2. Distributing \( \frac{1}{5} \) (first convert \( 6 \frac{2}{3} \) to \( \frac{20}{3} \)) gives us \( \frac{1}{10}p - \frac{4}{3}w \).
3. Now combine the parts:
   • For \( p \): \( \frac{3}{10}p + \frac{1}{10}p = \frac{4}{10}p = \frac{2}{5}p \).
   • For \( w \): \( \frac{1}{3}w - \frac{4}{3}w = -\frac{3}{3}w = -w \).

So, the final simplified expression is \( \frac{2}{5}p - w \).

Answer 2

rewrite so i can copy and paste it

Answer 3

To simplify the expression \( \frac{2}{5}\left(\frac{3}{4}p + \frac{5}{6}w\right) + \frac{1}{5}\left(\frac{1}{2}p - 6 \frac{2}{3}w\right) \), we first distribute the fractions.

1. Distributing \( \frac{2}{5} \) gives us \( \frac{3}{10}p + \frac{1}{3}w \).
2. Distributing \( \frac{1}{5} \) (first convert \( 6 \frac{2}{3} \) to \( \frac{20}{3} \)) gives us \( \frac{1}{10}p - \frac{4}{3}w \).
3. Now combine the parts:
   • For \( p \): \( \frac{3}{10}p + \frac{1}{10}p = \frac{4}{10}p = \frac{2}{5}p \).
   • For \( w \): \( \frac{1}{3}w - \frac{4}{3}w = -\frac{3}{3}w = -w \).

So, the final simplified expression is \( \frac{2}{5}p - w \).

Answer 4

i need to copy it, make it able to copy by reformatting it

Answer 5

To simplify the expression \( \frac{2}{5}\left(\frac{3}{4}p + \frac{5}{6}w\right) + \frac{1}{5}\left(\frac{1}{2}p - 6 \frac{2}{3}w\right) \), we first distribute the fractions.

1. Distributing \( \frac{2}{5} \) gives us \( \frac{3}{10}p + \frac{1}{3}w \).
2. Distributing \( \frac{1}{5} \) (first convert \( 6 \frac{2}{3} \) to \( \frac{20}{3} \)) gives us \( \frac{1}{10}p - \frac{4}{3}w \).
3. Now combine the parts:
   • For \( p \): \( \frac{3}{10}p + \frac{1}{10}p = \frac{4}{10}p = \frac{2}{5}p \).
   • For \( w \): \( \frac{1}{3}w - \frac{4}{3}w = -\frac{3}{3}w = -w \).

So, the final simplified expression is \( \frac{2}{5}p - w \).

Answer 6

reformat it so i can copy it

Answer 7

Here's the content reformatted for easy copying:

To simplify the expression

\(\frac{2}{5}\left(\frac{3}{4}p + \frac{5}{6}w\right) + \frac{1}{5}\left(\frac{1}{2}p - 6 \frac{2}{3}w\right)\),

we first distribute the fractions.

1. Distributing \(\frac{2}{5}\) gives us \(\frac{3}{10}p + \frac{1}{3}w\).
2. Distributing \(\frac{1}{5}\) (first convert \(6 \frac{2}{3}\) to \(\frac{20}{3}\)) gives us \(\frac{1}{10}p - \frac{4}{3}w\).
3. Now combine the parts:
   • For \(p\): \(\frac{3}{10}p + \frac{1}{10}p = \frac{4}{10}p = \frac{2}{5}p\).
   • For \(w\): \(\frac{1}{3}w - \frac{4}{3}w = -\frac{3}{3}w = -w\).

So, the final simplified expression is \(\frac{2}{5}p - w\).