Question

(2/3-1 1/24)×5 1/3+4 3/8:2 5/8

Answer 1

(2/3-1 1/24)*5 1/3+4 3/8:2 5/8
(2/3-1/24)*5 1/3+4 3/8*1/2*5/8
5/8*5*1/3+2*3/8*5/8
25/24+3/4*5/8
25/24+15/32
145/96
1 49/96 или ≈1,51

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. First, perform the subtraction inside the parentheses: (2/3 - 1 1/24) = (2/3 - 25/24)

   To subtract fractions, they need to have a common denominator, which in this case is 24: (2/3) = (16/24) since 2 * 8 = 16 and 3 * 8 = 24 (25/24) = (25/24) because the denominators are already the same

   Subtracting the fractions: (16/24 - 25/24) = -9/24

2. Next, multiply the result by 5 1/3: 5 1/3 = 5 + 1/3 = 16/3

   Multiplying: (-9/24) * (16/3) = (-9/24) * (16/3) = -144/72 = -2

3. Add 4 3/8 to the previous result: 4 3/8 = 4 + 3/8 = 35/8

   Adding: -2 + (35/8) = (-2 * 8 + 35) / 8 = (35 - 16) / 8 = 19/8

4. Finally, divide by 2 5/8: 2 5/8 = 2 + 5/8 = 21/8

   Dividing: (19/8) / (21/8) = (19/8) * (8/21) = 19/21

So, the final result is 19/21.