Question

((21,85/43,7+3,4)/3,4 )4,5 )/1 2/5 + 1 11/21​

Answer 1

Відповідь:

((21,85:43,7+8,5:3,4):4,5):1 2/5+1 11/21=2

1) 21,85:43,7=0,5

2)8,5:3,4=2.5

3)0,5+2,5=3

4)3:4,5=2/3

5)2/3:1 2/5=10/21

6)10/21+1 11/21=1 21/21=2

Покрокове пояснення:

Answer 2

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

1. Evaluate the expression inside the innermost parentheses: 21,85 / 43,7 + 3,4 = 0.4977 + 3.4 = 3.8977

2. Next, divide the result from step 1 by 3.4: 3.8977 / 3.4 = 1.14757352941

3. Multiply the result from step 2 by 4.5: 1.14757352941 * 4.5 = 5.16458088235

4. Now, evaluate the expression inside the outermost parentheses: 1 2/5 + 1 11/21 = (5/5 + 2/5) + (21/21 + 11/21) = 7/5 + 32/21

5. Find a common denominator for 5 and 21, which is 105: 7/5 = 7/5 * 21/21 = 147/105 32/21 = 32/21 * 5/5 = 160/105

6. Add the fractions: 147/105 + 160/105 = (147 + 160)/105 = 307/105

7. Finally, divide the result from step 3 by the result from step 6: 5.16458088235 / (307/105) = 5.16458088235 * (105/307) = 1.7595034336

Therefore, the simplified value of the given expression is approximately 1.7595.