Answer:
B. 4/5
Explanation:
Step 1: Convert both 7 1/5 and 6 2/5 to mixed numbers:
- Both 7 1/5 and 6 2/5 are mixed numbers, but we can't convert them to improper fractions before we find the difference.
- When converting a mixed number to an improper fraction, we keep the same denominator.
- The numerator is the original numerator added to the product of the whole number and the denominator.
Converting 7 1/5 to an improper fraction:
((7 * 5) + 1) / 5
(35 + 1) / 5
36/5
Thus, 7 1/5 as an improper fraction is 36/5.
Converting 6 2/5 to an improper fraction:
((6 * 5) + 2) / 5
(30 + 2) / 5
32/5
Thus, 6 2/5 as an improper fraction is 32/5.
Step 2: Find the difference of 36/5 and 32/5:
Now we can subtract 32/5 from 36/5.
Since both fractions have the same denominator, we keep the denominator and subtract the numerators:
(36 - 32) / 5
4/5
Thus, the final answer is B. 4/5.