Question

2.4* 1 5/12*1 7/17-3 1/7:1 4/7​

Answer 1

Ответ: 2.8

Пошаговое объяснение:

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. Calculate the mixed numbers:

   • 2.4 = 2 + 0.4
   • 1 5/12 = 1 + 5/12
   • 1 7/17 = 1 + 7/17
   • 3 1/7 = 3 + 1/7
   • 1 4/7 = 1 + 4/7

2. Perform calculations on the mixed numbers:

   • 2 + 1 + 1 + 3 + 1 = 8
   • 0.4, 5/12, 7/17, 1/7, 4/7 remain as fractions or decimals.

3. Combine the fractions and decimals:

   • 8 + 0.4 + 5/12 + 7/17 + 1/7 + 4/7

Now, let's calculate each part step by step:

1. 5/12 + 7/17: To add fractions with different denominators, find a common denominator: Common denominator = 12 * 17 = 204 Convert fractions to have the common denominator: (5/12) * (17/17) + (7/17) * (12/12) = 85/204 + 84/204 = 169/204

2. 1/7 + 4/7: These fractions already have a common denominator, which is 7. 1/7 + 4/7 = 5/7

Now the expression becomes: 8 + 0.4 + 169/204 + 5/7

3. Convert 0.4 to a fraction with a denominator of 204: 0.4 = 40/100 = 102/204

Now the expression becomes: 8 + 102/204 + 169/204 + 5/7

4. Combine the fractions: 102/204 + 169/204 = 271/204

Now the expression becomes: 8 + 271/204 + 5/7

5. Convert 8 to a fraction with a denominator of 204: 8 = 8 * 204/204 = 1632/204

Now the expression becomes: 1632/204 + 271/204 + 5/7

6. Combine the fractions: 1632/204 + 271/204 = 1903/204

Now the expression becomes: 1903/204 + 5/7

7. Convert 5/7 to a fraction with a denominator of 204: 5/7 = 292/204

Now the expression becomes: 1903/204 + 292/204

8. Combine the fractions: 1903/204 + 292/204 = 2195/204

So, the final result of the expression is approximately 10.761.