1 5/19 × (6 - 3 5/8)

Question 1

Задача Задача №65360

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Аноним

28 ноября 2023 05:22 · публичный вопрос

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Аноним 28 ноября 2023 05:22

1 5/19 × (6 - 3 5/8)

Answer

To solve the expression 1 5/19 × (6 - 3 5/8), follow the order of operations, which is parentheses, then multiplication and division from left to right, and finally addition and subtraction from left to right.

Step 1: Simplify the expression inside the parentheses: 6 - 3 5/8 = 6 - (3 + 5/8) [convert mixed number to improper fraction] = 6 - (24/8 + 5/8) [common denominator: 8] = 6 - (29/8)

Step 2: Calculate the expression: 1 5/19 × (6 - 3 5/8) = 1 5/19 × (6 - 29/8) [convert mixed number to improper fraction] = 24/19 × (48/8 - 29/8) [common denominator: 8] = 24/19 × (19/8) = 24/19 × 19/8 [cancel out common factors] = (24/1) × (1/8) = 24/8 = 3

So, the answer is 3.

Question 2

1 5/19 × (6 - 3 5/8)

Answer

To solve the expression 1 5/19 × (6 - 3 5/8), follow the order of operations, which is parentheses, then multiplication and division from left to right, and finally addition and subtraction from left to right. Step 1: Simplify the expression inside the parentheses: 6 - 3 5/8 = 6 - (3 + 5/8) [convert mixed number to improper fraction] = 6 - (24/8 + 5/8) [common denominator: 8] = 6 - (29/8) Step 2: Calculate the expression: 1 5/19 × (6 - 3 5/8) = 1 5/19 × (6 - 29/8) [convert mixed number to improper fraction] = 24/19 × (48/8 - 29/8) [common denominator: 8] = 24/19 × (19/8) = 24/19 × 19/8 [cancel out common factors] = (24/1) × (1/8) = 24/8 = 3 So, the answer is 3.