Final answer:
To find 7×2 2/5, convert 2 2/5 to an improper fraction (12/5), multiply by 7 to get 84/5, and simplify to a mixed number, resulting in 16 4/5.
Step-by-step explanation:
To calculate 7×2 2/5, you first need to convert the mixed number to an improper fraction. The mixed number 2 2/5 can be converted to an improper fraction by multiplying the whole number (2) by the denominator (5) and adding the numerator (2), yielding 10 + 2 = 12, so the fraction is 12/5. Now, you multiply 7 by 12/5: 7 × 12/5 = 84/5. To simplify, convert the improper fraction back to a mixed number: 84/5 = 16 4/5. So, 7×2 2/5 equals 16 4/5.