-4 1/7 + 8 3/8 Enter your answer as a simplified fraction by filling in the boxes.​

1 answer

To add -4 1/7 and 8 3/8, we need to first convert the mixed numbers to improper fractions.

-4 1/7 = -(4*7 + 1)/7 = -29/7
8 3/8 = (8*8 + 3)/8 = 67/8

Now, we can add the fractions:
-29/7 + 67/8

To add fractions with different denominators, we need to find a common denominator. The least common multiple of 7 and 8 is 56.

-29/7 * 8/8 = -232/56
67/8 * 7/7 = 469/56

Now, we can add the fractions:

-232/56 + 469/56 = ( -232 + 469 ) / 56 = 237/56

Therefore, -4 1/7 + 8 3/8 = 237/56.