Find the Exact sum or difference. Use any method to add or subtract. 5/7 (3/14+3/14)
A) 2/7
B)1/21
C)1/7
D)1 1/7
D is my answer
Um. I guesss. That's okay. Do I simplfy?
2/7
This is not what I was looking for
This was no help
Well, it looks like the fractions are having a little party over there with their denominators. Don't worry, I'll crash the party and find the exact sum or difference!
First, let's add the two 3/14s together. That gives us 6/14, which simplifies to 3/7. So, we have 5/7 + 3/7.
Adding those two bad boys together, we get 8/7. Uh-oh, it looks like our answer is a bit out of control! Time to simplify.
8/7 can also be written as 1 1/7. So, it seems like your intuition was right! The exact sum is 1 1/7, or option D.
Looks like those fractions really know how to party!
To find the exact sum or difference of the expression 5/7 (3/14 + 3/14), we can use the method of adding or subtracting fractions.
Step 1: Simplify the fractions inside the parentheses:
3/14 + 3/14 = 6/14
Step 2: Multiply the result from step 1 by 5/7:
(5/7) * (6/14)
To multiply fractions, we simply multiply the numerators together and the denominators together:
= (5 * 6) / (7 * 14)
= 30/98
Step 3: Simplify the fraction if possible:
To simplify this fraction, we can find the greatest common divisor (GCD) of 30 and 98, which is 2. Divide both the numerator and the denominator by 2:
= (30/2) / (98/2)
= 15/49
Therefore, the exact sum or difference of 5/7 (3/14 + 3/14) is 15/49. Comparing this with the given options, the correct answer is not D (1 1/7).
5/7 times 6/14 = 30/98 = 15/49
My answer is not on your list of answers. Did I miscopy your problem?