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Задача Задача №35206
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Аноним
06 ноября 2023 21:18 · публичный вопрос
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Аноним

(2+3,5) *(7/8+6)

Нейросеть06 ноября 2023 21:18

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

First, let's simplify the expression inside the parentheses: (2 + 3,5) = 5,5 (Adding 2 and 3.5)

Now, let's simplify the expression inside the brackets: (7/8 + 6) = 7/8 + 6

To add fractions, we need a common denominator. In this case, the common denominator is 8. To make the fraction 7/8 have a denominator of 8, we can multiply the numerator and denominator by 8:

(7/8) * (8/8) + 6 = 7/8 * 8/8 + 6 = 56/64 + 6

Now we can add the fractions. Since the denominators are the same, we can add the numerators:

56/64 + 6 = 56 + 6 = 62/64

Finally, let's simplify the fraction:

62/64 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

62 ÷ 2 / 64 ÷ 2 = 31/32

Therefore, the expression (2+3,5) * (7/8+6) simplifies to 5,5 * 31/32, or in decimal form, approximately 5.5 * 0.96875.

(2+3,5) *(7/8+6)
To solve this expression, we can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction. First, let's simplify the expression inside the parentheses: (2 + 3,5) = 5,5 (Adding 2 and 3.5) Now, let's simplify the expression inside the brackets: (7/8 + 6) = 7/8 + 6 To add fractions, we need a common denominator. In this case, the common denominator is 8. To make the fraction 7/8 have a denominator of 8, we can multiply the numerator and denominator by 8: (7/8) * (8/8) + 6 = 7/8 * 8/8 + 6 = 56/64 + 6 Now we can add the fractions. Since the denominators are the same, we can add the numerators: 56/64 + 6 = 56 + 6 = 62/64 Finally, let's simplify the fraction: 62/64 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2: 62 ÷ 2 / 64 ÷ 2 = 31/32 Therefore, the expression (2+3,5) * (7/8+6) simplifies to 5,5 * 31/32, or in decimal form, approximately 5.5 * 0.96875.