p = 2(3 5/8 + 2 7/8) = ____ in

3 answers

To solve this problem, we first need to simplify the expression inside the parentheses:

3 5/8 + 2 7/8

To add the fractions, we need to find a common denominator. The common denominator for 8 and 8 is 8.

3 5/8 = (3*8 + 5)/8 = 29/8
2 7/8 = (2*8 + 7)/8 = 23/8

Now we can add the fractions:

29/8 + 23/8 = (29 + 23)/8 = 52/8 = 13/2

So, the expression inside the parentheses simplifies to 13/2.

Now we can substitute this value back into the original expression:

p = 2(13/2)

To multiply fractions, we multiply the numerators together and the denominators together:

p = (2 * 13)/(2 * 2) = 26/4 = 13/2

Therefore, p evaluates to 13/2 or 6 1/2 inches.
are u sure
I apologize for the mistake in my previous response. Let's solve the problem correctly.

We have:
p = 2(3 5/8 + 2 7/8)

To simplify the expression inside the parentheses, we add the whole numbers and fractions separately:

Whole numbers: 3 + 2 = 5

Now let's add the fractions:

5/8 + 7/8 = (5 + 7)/8 = 12/8 = 1 4/8

Now we have:

p = 2(5 + 1 4/8)

Simplifying further:

p = 2(5 + 1 + 4/8)

5 + 1 = 6

p = 2(6 + 4/8)

Next, we add the whole number and fraction again:

6 + 4/8 = (6 * 8 + 4)/8 = (48 + 4)/8 = 52/8 = 6 1/2

Finally, substituting this value back into the original equation:

p = 2(6 1/2)

To multiply fractions, we multiply the numerators and denominators:

p = (2 * 13)/(1 * 2) = 26/2 = 13

Therefore, p evaluates to 13 inches.