Question

(23/5-11/3)×30/14+(16/3-24/7)×7/5​

Answer 1

Ответ:

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Объяснение:

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction:

Step 1: Evaluate expressions inside parentheses/brackets (if any). Step 2: Perform multiplication and division from left to right. Step 3: Perform addition and subtraction from left to right.

Let's go through each step:

Step 1: Evaluate expressions inside parentheses/brackets (if any): There are no parentheses or brackets in the expression.

Step 2: Perform multiplication and division from left to right: (23/5 - 11/3) × 30/14 + (16/3 - 24/7) × 7/5

Step 2.1: Evaluate the first expression (23/5 - 11/3): Common denominator for 5 and 3 is 15: (23/5 - 11/3) = (23/5 * 3/3) - (11/3 * 5/5) = (69/15) - (55/15) = (69 - 55) / 15 = 14 / 15

Step 2.2: Evaluate the second expression (16/3 - 24/7): Common denominator for 3 and 7 is 21: (16/3 - 24/7) = (16/3 * 7/7) - (24/7 * 3/3) = (112/21) - (72/21) = (112 - 72) / 21 = 40 / 21

Step 3: Perform addition and subtraction from left to right: (14/15) × 30/14 + (40/21) × 7/5

Step 3.1: Evaluate the first multiplication (14/15 × 30/14): Cancel out common factors (2, 3, 5): (14/15 × 30/14) = (1/15) × (15/1) = 1

Step 3.2: Evaluate the second multiplication (40/21 × 7/5): Cancel out common factors (7, 5): (40/21 × 7/5) = (8/3) × (1/1) = 8/3

Step 3.3: Perform addition: 1 + 8/3

To add these fractions, find a common denominator (3): 1 = 3/3 1 + 8/3 = 3/3 + 8/3 = (3 + 8) / 3 = 11/3

The final result is 11/3.