Final answer:
To find the value of 14 1/3 - (-8 2/5), convert the mixed numbers to improper fractions. Subtract the fractions by finding a common denominator and subtracting the numerators. The answer is 22 11/15 or b) 5 8/15.
Step-by-step explanation:
To find the value of 14 1/3 - (-8 2/5), we can convert the mixed numbers to improper fractions. 14 1/3 becomes 43/3 and -8 2/5 becomes -42/5. Subtracting two fractions is done by finding a common denominator and then subtracting the numerators. The common denominator of 3 and 5 is 15. So we have (43/3) - (-42/5) = (215/15) + (126/15) = 341/15. This is equivalent to 22 11/15, or in option form, b) 5 8/15.