Add 3 5/7+7 1/2
. What is the sum?(1 point)
Responses
10 3/14
11 3/14
11 5/7
10 2/3
The sum of 3 5/7 and 7 1/2 is 11 3/14
To add 3 5/7 and 7 1/2, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
3 5/7 as an improper fraction is (3*7 + 5)/7 = 26/7.
7 1/2 as an improper fraction is (7*2 + 1)/2 = 15/2.
Step 2: Find a common denominator, which is 14 in this case, because 7 and 2 both divide evenly into 14.
Step 3: Rewrite the fractions with the common denominator.
26/7 can be rewritten as (26*2)/(7*2) = 52/14.
15/2 can be rewritten as (15*7)/(2*7) = 105/14.
Step 4: Add the fractions together.
52/14 + 105/14 = (52 + 105)/14 = 157/14.
Step 5: Simplify the fraction, if necessary.
The fraction 157/14 cannot be simplified any further.
Therefore, the sum of 3 5/7 and 7 1/2 is 157/14.
To solve the problem, we need to add the mixed numbers 3 5/7 and 7 1/2. Here is how we can do it step by step:
Step 1: Convert the mixed numbers to improper fractions.
3 5/7 can be written as (7 * 3 + 5)/7 = 26/7.
7 1/2 can be written as (2 * 7 + 1)/2 = 15/2.
Step 2: Find a common denominator. In this case, the common denominator is 14, which is the least common multiple of 7 and 2.
Step 3: Convert the fractions to have a denominator of 14.
26/7 becomes (26 * 2)/ (7 * 2) = 52/14.
15/2 becomes (15 * 7)/ (2 * 7) = 105/14.
Step 4: Add the fractions.
52/14 + 105/14 = (52 + 105)/14 = 157/14.
Step 5: Simplify the fraction, if possible.
The fraction 157/14 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 7.
157/14 = (7 * 22 + 3)/14 = 22 + 3/14 = 10 3/14.
Therefore, the sum of 3 5/7 and 7 1/2 is 10 3/14. Option 1 (10 3/14) is the correct answer.