Final answer:
The correct answer is option B. 1 1/5. The subtraction of 3/5 from 4 2/5 results in the mixed number 3 4/5, which means option B is accurate.
Step-by-step explanation:
To solve 4 2/5 − 3/5, first break down 4 2/5 into an improper fraction. You get 22/5 (since 4 times 5 plus 2 equals 22). Then subtract 3/5 from 22/5 which gives us 19/5. Converting this back into a mixed number, 19 divided by 5 is 3 with a remainder of 4, so the mixed number is 3 4/5. This means that when you subtract 3/5 from 4 2/5, you're left with 3 4/5, making option B the correct answer.
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 5. So, we rewrite 4 2/5 as 4 4/10. Now we can subtract the fractions: 4 4/10 - 3/5. To do this, we need to have the same denominator for both fractions. We can convert 3/5 to 6/10. Now we can subtract the fractions: 4 4/10 - 6/10 = 3 4/10 = 3 2/5 = 4 2/5 - 3/5 = 1 1/5. Therefore, the correct answer is option B. 1 1/5.