Add 3/5/7+7/1/2. What is the sum?(1 point) Responses 11/3/14 11 Start Fraction 3 over 14 End Fraction 11/5/7 11 Start Fraction 5 over 7 End Fraction 10/3/14 10 Start Fraction 3 over 14 End Fraction 10/2/3

1 answer

To add the fractions 3/5/7 and 7/1/2, we need to find a common denominator. To do this, we first convert the mixed fractions into improper fractions.

3/5/7 can be written as 3 + 5/7, and by multiplying the whole number (3) by the denominator (7) and adding the numerator (5), we get 26/7.

7/1/2 can be written as 7 + 1/2, and by multiplying the whole number (7) by the denominator (2) and adding the numerator (1), we get 15/2.

Now, we need to find a common denominator for 26/7 and 15/2. The least common multiple of 7 and 2 is 14. Therefore, we can rewrite the fractions with a common denominator:

26/7 can be written as (26/7) * (2/2) = (52/14)

15/2 can be written as (15/2) * (7/7) = (105/14)

Now we can add the fractions:

(52/14) + (105/14) = (157/14)

Therefore, the sum of 3/5/7 and 7/1/2 is 157/14, which is equivalent to 11 3/14.