Answer:
27 13/14
Explanation:
convert to improper fractions:
43 1/2 = 87/2
15 4/7 = 109/7
give them a common denominator by using the LCM, which is 2 x 7 = 14
then, you have to multiply both the numerator and denominator by the LCM/previous denominator to get the new fraction
87 (14/2) 609
---- x --------- = -------
2 (14/2) 14
109 (14/7) 218
---- x --------- = -------
7 (14/7) 14
now, you can subtract them:
609/14 - 218/14 = 391/14
last, convert back to mixed numbers:
391/14 = 27 13/14