First, convert both mixed numbers into improper fractions. -2 2/3 becomes -8/3 (multiply the denominator (3) by the whole number (2), then add the numerator (2) and keep your denominator (3)) and -4 3/7 becomes -31/7. Then, all you have to do is multiply your two improper fractions, which are -8/3 and -31/7. To do this, just multiply the numerators (-8x-31) which gives you 248 (the negatives cancel out), and then you multiply the denominators (3x7) which gives you 21. Your fractions should now be 248/21. If your teacher says it's okay to leave it as an improper fraction, your answer will just be 248/21 but if he/she wants it as a mixed number, you just have to divide 248 by 21, which should give you 11 with a remainder of 17 so your answer would be 11 17/21 in mixed number form. Hope this helps!
