Answer:
51/20
Explanation:
To simplify the expression 8 3/4 - 6 1/5, we need to convert the mixed numbers into improper fractions and then find a common denominator. First, let's convert 8 3/4 to an improper fraction: 8 3/4 = (8 * 4 + 3) / 4 = 35/4 Next, let's convert 6 1/5 to an improper fraction: 6 1/5 = (6 * 5 + 1) / 5 = 31/5 Now, we have 35/4 - 31/5. To find a common denominator, we need to find the least common multiple (LCM) of 4 and 5. The LCM of 4 and 5 is 20. Now, let's rewrite the fractions with the common denominator of 20: 35/4 = (35 * 5) / (4 * 5) = 175/20 31/5 = (31 * 4) / (5 * 4) = 124/20 Now, we can subtract the fractions: 175/20 - 124/20 = (175 - 124) / 20 = 51/20 Therefore, 8 3/4 - 6 1/5 simplifies to 51/20.