Question

Решите 4 3/5 × (7/5 - 2/8) -4 ×3 1/4 =

Answer 1

Ответ на картинкеееееееееееееееееееееееееееееее

Answer 2

To solve the expression, we follow the order of operations (PEMDAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break it down step by step:

Step 1: Deal with the parentheses first (7/5 - 2/8) can be simplified: First, find a common denominator for 5 and 8, which is 40: (7/5) = (7/5) * (8/8) = 56/40 (2/8) = (2/8) * (5/5) = 10/40

So, (7/5 - 2/8) = (56/40 - 10/40) = 46/40 = 23/20

Step 2: Now we have 4 3/5 × (23/20) - 4 × 3 1/4

Step 3: Convert the mixed numbers to improper fractions: 4 3/5 = (5 * 4 + 3)/5 = 23/5 3 1/4 = (4 * 3 + 1)/4 = 13/4

Now the expression becomes: (23/5) × (23/20) - 4 × (13/4)

Step 4: Multiply the fractions: (23/5) × (23/20) = (23 * 23) / (5 * 20) = 529/100

Step 5: Continue simplifying the expression: 529/100 - 4 × 13/4

Step 6: Multiply 4 with 13/4: 4 × 13/4 = 13

Now the expression becomes: 529/100 - 13

Step 7: Find a common denominator (100) for the two fractions and subtract: (529/100) - (13 * 100/100) = (529/100) - (1300/100) = (529 - 1300)/100 = -771/100

The final result is: -771/100, which can also be written as -7.71 (if we convert it back to decimal).