Question

8 3/8 - (5 5/6+1 3/4) =?

Answer 1

8 3/8 - (5 5/6 + 1 3/4) = 19/24

1) 5 5/6 + 1 3/4 = 5 10/12 + 1 9/12 = 6 19/12 = 7 7/12

2) 8 3/8 - 7 7/12 = 8 9/24 - 7 14/24 = 7 33/24 - 7 14/24 = 19/24

Ответ: 19/24.

Answer 2

To solve the expression 8 3/8 - (5 5/6 + 1 3/4), we need to perform the addition and subtraction operations in the parentheses first, and then subtract the result from 8 3/8.

Let's break it down step by step:

Step 1: Convert all the mixed numbers to improper fractions: 8 3/8 = (8 * 8 + 3) / 8 = 67/8 5 5/6 = (5 * 6 + 5) / 6 = 35/6 1 3/4 = (1 * 4 + 3) / 4 = 7/4

Step 2: Evaluate the expression within the parentheses: (35/6 + 7/4)

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 4, which is 12.

(35/6 + 7/4) = (35/6) * (2/2) + (7/4) * (3/3) = (70/12) + (21/12) = (70 + 21) / 12 = 91/12

Step 3: Subtract the result from 8 3/8: 67/8 - 91/12

To subtract these fractions, we need a common denominator, which is the least common multiple (LCM) of 8 and 12, which is 24.

67/8 = (67/8) * (3/3) = 201/24

Now we can subtract the fractions:

(201/24) - (91/12) = (201/24) - (182/24) = (201 - 182) / 24 = 19/24

Therefore, the result of the expression 8 3/8 - (5 5/6 + 1 3/4) is 19/24.