Question

(-3 3/7+(2 1/14))+(-3 1/2)

Answer 1

$(-3 \frac{3}{7} +(2 \frac{1}{14} ))+(-3 \frac{1}{2} )=(-3 \frac{6}{14} +2 \frac{1}{14} )-3 \frac{1}{2} =\\\\=-1 \frac{5}{14} -3 \frac{1}{2} =-1 \frac{5}{14} -3 \frac{7}{14} =-4 \frac{12}{14} =-4 \frac{6}{7}$

Answer 2

To add the two mixed numbers, we need to convert them into improper fractions and then perform the addition.

First, let's convert the mixed numbers to improper fractions:

-3 3/7 = (-3 * 7 + 3) / 7 = (-21 + 3) / 7 = -18 / 7

2 1/14 = (2 * 14 + 1) / 14 = (28 + 1) / 14 = 29 / 14

Next, let's add the two fractions:

(-18/7) + (29/14)

To add these fractions, we need a common denominator. The least common multiple (LCM) of 7 and 14 is 14. Let's convert both fractions to have a denominator of 14:

(-18/7) = (-18/7) * (2/2) = (-36/14)

Now we can add the fractions:

(-36/14) + (29/14) = (-36 + 29) / 14 = -7/14

Finally, let's simplify the fraction:

-7/14 = -1/2

Therefore, the sum of (-3 3/7 + 2 1/14) + (-3 1/2) is -1/2.