Question

10 3/8-4 2/3= 7 1/16-3 5/24=

Answer 1

Ответ:

Пошаговое объяснение:

10 9/24 - 4 16/24=(9 24/24)+9 33/24-4 16/24=5 17/24

Answer 2

To solve the subtraction problems, we'll first convert the mixed numbers into improper fractions, then perform the subtraction, and finally simplify the result if necessary.

1. 10 3/8 - 4 2/3:

Converting the mixed numbers to improper fractions: 10 3/8 = (10 * 8 + 3) / 8 = 83/8 4 2/3 = (4 * 3 + 2) / 3 = 14/3

Performing the subtraction: 83/8 - 14/3

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 3 is 24.

Rewriting the fractions with a common denominator: (83/8) * (3/3) = 249/24 (14/3) * (8/8) = 112/24

Subtracting the fractions: 249/24 - 112/24 = (249 - 112) / 24 = 137/24

Converting the improper fraction back to a mixed number: 137/24 = 5 17/24

Therefore, 10 3/8 - 4 2/3 = 5 17/24.

2. 7 1/16 - 3 5/24:

Converting the mixed numbers to improper fractions: 7 1/16 = (7 * 16 + 1) / 16 = 113/16 3 5/24 = (3 * 24 + 5) / 24 = 77/24

Performing the subtraction: 113/16 - 77/24

Finding a common denominator: The LCM of 16 and 24 is 48.

Rewriting the fractions with a common denominator: (113/16) * (3/3) = 339/48 (77/24) * (2/2) = 154/48

Subtracting the fractions: 339/48 - 154/48 = (339 - 154) / 48 = 185/48

Converting the improper fraction back to a mixed number: 185/48 = 3 17/48

Therefore, 7 1/16 - 3 5/24 = 3 17/48.