Question

4 1/8-2 1/4×(1 1/3×2 1/4-2)​

Answer 1

Ответ

15

8

Десятичный вид:

1.875  

Answer 2

To simplify the expression 4 1/8 - 2 1/4 × (1 1/3 × 2 1/4 - 2), we need to perform the calculations step by step. Let's break it down:

Step 1: Convert mixed numbers to improper fractions: 4 1/8 = (4 × 8 + 1) / 8 = 33/8 2 1/4 = (2 × 4 + 1) / 4 = 9/4 1 1/3 = (1 × 3 + 1) / 3 = 4/3 2 1/4 = (2 × 4 + 1) / 4 = 9/4

The expression becomes: 33/8 - (9/4) × (4/3 × 9/4 - 2)

Step 2: Simplify the innermost parentheses: 4/3 × 9/4 = 36/12 = 3/1 = 3

The expression becomes: 33/8 - (9/4) × (3 - 2)

Step 3: Simplify the parentheses: 3 - 2 = 1

The expression becomes: 33/8 - (9/4) × 1

Step 4: Perform the multiplication: (9/4) × 1 = 9/4

The expression becomes: 33/8 - 9/4

Step 5: Convert the fractions to have the same denominator: 33/8 = (33 × 4) / (8 × 4) = 132/32 9/4 = (9 × 8) / (4 × 8) = 72/32

The expression becomes: 132/32 - 72/32

Step 6: Subtract the fractions: 132/32 - 72/32 = (132 - 72) / 32 = 60/32 = 15/8

So, the simplified expression is 15/8.