p = 2(3 5/8 + 2 7/8) = ____ in
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.
To solve this problem, we need to simplify the expression inside the parentheses first, and then multiply by 2.
Step 1: Simplify the expression inside the parentheses by adding the whole numbers and the fractions separately.
For the whole numbers:
3 + 2 = 5
For the fractions:
5/8 + 7/8 = (5 + 7) / 8 = 12 / 8 = 1 4/8
Step 2: Combine the whole number and the fraction.
5 + 1 4/8 = 5 + 1/2 = 5 1/2
Step 3: Multiply the simplified expression by 2.
2 * 5 1/2 = 10 + 1/2
The final answer is 10 1/2 inches.