Question

(3 2/5 - 1,75) * 1 2/3 + 3/14 : 2 4/7. ​

Answer 1

Ответ:

$2\frac{5}{6}$

Пошаговое объяснение:

(3 2/5 - 1,75) * 1 2/3 + 3/14 : 2 4/7. ​

1) 3 2/5 - 1.75 = 3.4 - 1.75 = 1.65

2) 1.65*1 2/3 = 165/100 * 5/3 = 33/20*5/3=11/4= 2 3/4

3) 3/14 : 2 4/7 = 3/14* 7/18 = 1/12

4) 2 3/4 + 1/12 = 11/4 + 1/12 = 33/12+1/12 = 34/12 = 2 5/6

Answer 2

Ответ:

(3,4-1,75) × 5/3+3/14 : 18/7= 1,65×5/3+ +3/14×18/7=27/49+3/49=30/49

Answer 3

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) to simplify it step by step.

Here's the breakdown of the expression:

1. Start with the subtraction inside the parentheses: 3 2/5 - 1 3/4 = (convert everything to fractions) (17/5) - (7/4)

2. Find a common denominator, which is 20: (17/5) * (4/4) - (7/4) * (5/5) = (68/20) - (35/20)

3. Subtract the fractions: (68/20) - (35/20) = (68 - 35) / 20 = 33/20

Now, the expression becomes: (33/20) * 1 2/3 + (3/14) / 2 4/7

4. Next, convert 1 2/3 to an improper fraction: 1 2/3 = (3 * 1 + 2) / 3 = 5/3

5. Perform the multiplication: (33/20) * (5/3) = (33 * 5) / (20 * 3) = 165/60

6. Simplify the fraction: 165/60 = (11 * 15) / (11 * 5 * 2) = (15/5) / 2 = 3/2

Now, the expression becomes: (3/2) + (3/14) / 2 4/7

7. Convert 2 4/7 to an improper fraction: 2 4/7 = (7 * 2 + 4) / 7 = 18/7

8. Perform the division: (3/14) / (18/7) = (3/14) * (7/18)

9. Simplify the fraction: (3/14) * (7/18) = (3 * 7) / (14 * 18) = 21/252

10. Further simplify the fraction by finding the greatest common divisor (GCD) of 21 and 252, which is 21: (21/21) / (252/21) = 1/12

Now, you have the final result: (3/2) + (1/12) = 3/2 + 1/12

To add these fractions, find a common denominator, which is 12: (6/4) + (1/12)

Now, add the fractions: (6/4) + (1/12) = (9/6) + (1/12) = (3/2) + (1/12)

To add these fractions further: (3/2) + (1/12) = (18/12) + (1/12) = 19/12

So, the final result is 19/12.