Question

(11 5/8 +7 1/6 ) :3 5/12

Answer 1

(11 5/8 + 7 1/6) : 3 5/12 = (93/8 + 43/6) : 41/12 = (279/24 - 172/24) : 41/12 = 107/24 : 41/12 = 107/24 * 12/41 = 107/82 = 1 25/82

Answer 2

To solve the expression (11 5/8 + 7 1/6) ÷ 3 5/12, we can follow these steps:

Step 1: Convert mixed numbers to improper fractions. 11 5/8 can be written as an improper fraction: (11 × 8 + 5)/8 = 93/8 7 1/6 can be written as an improper fraction: (7 × 6 + 1)/6 = 43/6

Step 2: Add the two improper fractions. 93/8 + 43/6 = (93 × 6 + 43 × 8)/(8 × 6) = (558 + 344)/48 = 902/48

Step 3: Simplify the fraction. 902/48 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2. 902/48 ÷ 2/2 = 451/24

Step 4: Convert the simplified fraction back to a mixed number. 451/24 can be written as a mixed number by dividing the numerator by the denominator: 451 ÷ 24 = 18 with a remainder of 19. Therefore, the result is 18 19/24.

So, (11 5/8 + 7 1/6) ÷ 3 5/12 equals 18 19/24.