Question

(6/5:36+1,2×1/4)×9 (2 38/45 - 1/15):13 8/9

Answer 1

(6/5 : 36 + 1,2 · 1/4) · 9 = 3

1) 6/5 : 36 = 6/5 · 1/36 = (1·1)/(5·6) = 1/30

2) 1,2 · 1/4 = 12/10 · 1/4 = (3·1)/(10·1) = 3/10

3) 1/30 + 3/10 = 1/30 + 9/30 = 10/30 = 1/3

4) 1/3 · 9 = 9/3 = 3

Ответ: 3.

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(2 38/45 - 1/15) : 13 8/9 = 1/5

1) 2 38/45 - 1/15 = 2 38/45 - 3/45 = 2 35/45 = 2 7/9

2) 2 7/9 : 13 8/9 = 25/9 : 125/9 = 25/9 · 9/125 = 25/125 = 1/5

Ответ: 1/5.

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Evaluate the expression inside the parentheses: (6/5:36 + 1,2 × 1/4) First, let's simplify the division: 6/5 ÷ 36 = 6/5 × 1/36 = 6/180 = 1/30 Next, we have a comma operator (",") which acts as a separator. It does not have a specific mathematical meaning, so we ignore it in this case. Finally, we multiply 1,2 (which is the same as 1.2) by 1/4: 1.2 × 1/4 = 1.2/4 = 3/10

Therefore, the expression inside the parentheses simplifies to: 1/30 + 3/10 = 1/30 + 9/30 = 10/30 = 1/3

Step 2: Evaluate the expression outside the parentheses: (1/3) × 9 Multiplying 1/3 by 9: (1/3) × 9 = 9/3 = 3

Step 3: Evaluate the expression: (2 38/45 - 1/15) : 13 8/9 First, let's convert the mixed number into an improper fraction: 2 38/45 = (2 × 45 + 38) / 45 = 128/45

Next, let's find the common denominator between 128/45 and 1/15, which is 45: 128/45 - 1/15 = (128 × 1) / 45 - (1 × 3) / 15 = 128/45 - 3/15

Since the denominators are already the same, we can subtract the numerators: 128/45 - 3/15 = (128 - 9) / 45 = 119/45

Finally, let's divide 119/45 by the mixed number 13 8/9: To convert 13 8/9 into an improper fraction: 13 8/9 = (13 × 9 + 8) / 9 = 125/9

(119/45) ÷ (125/9) = (119/45) × (9/125) = (119 × 9) / (45 × 125) = 1071/5625

Step 4: Multiply the result from Step 2 by the result from Step 3: 3 × 1071/5625 To multiply fractions, we simply multiply the numerators and denominators: (3 × 1071) / (1 × 5625) = 3213/5625

Therefore, the final result of the expression is 3213/5625.