Question

1 3/22*2 14/15-(1 5/8+2 1/8*11/17)*3/7

Answer 1

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Answer 2

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

1. Start with the multiplication: 3/22 * 2
2. Perform the addition inside the parentheses: 1 5/8 + 2 1/8 * 11/17
3. Perform the multiplication inside the parentheses: 2 1/8 * 11/17
4. Perform the subtraction inside the parentheses: 14/15 - (result of step 3) * 3/7
5. Perform the final subtraction: result of step 4 - (result of step 1)

Let's proceed with the calculations:

1. 3/22 * 2 = 3/22 * 2/1 = 6/22 = 3/11

2. 1 5/8 + 2 1/8 * 11/17 Convert mixed numbers to improper fractions: 1 5/8 = 8/8 + 5/8 = 13/8 2 1/8 = 8/8 + 1/8 = 9/8

   9/8 * 11/17 = (9 * 11) / (8 * 17) = 99/136

   13/8 + 99/136 To add fractions, we need a common denominator, which is 136: (13 * 17) / (8 * 17) + 99/136 = 221/136 + 99/136 = 320/136

3. 14/15 - (result of step 2) * 3/7 320/136 * 3/7 = (320 * 3) / (136 * 7) = 960/952

   14/15 - 960/952 To subtract fractions, we need a common denominator, which is 952: (14 * 63) / (15 * 63) - 960/952 = 882/952 - 960/952 = -78/952

4. Final subtraction: (result of step 3) - (result of step 1) -78/952 - 3/11 To subtract fractions, we need a common denominator, which is 952: -78/952 - 3/11 = ( -78 * 11) / (952 * 11) - 3/11 = -858/10472 - 3/11

   Since 858 and 10472 are relatively prime, we cannot simplify it further.

So, the final result of the given expression is: -858/10472 - 3/11.