Question

37/60÷74/125×12/25+3 1/3

Answer 1

37/5*125/74*1/25+10/3=1/5*5/2+10/3=1/2+10/3=23/6=3 5/6

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To solve the expression 37/60 ÷ 74/125 × 12/25 + 3 1/3, we need to follow the order of operations (also known as PEMDAS/BODMAS) and simplify step by step.

1. Let's start by simplifying the division: 37/60 ÷ 74/125 = (37/60) × (125/74) The reciprocal of a fraction is obtained by swapping the numerator and denominator, so the division becomes multiplication.

   Now, let's multiply the numerators and denominators: (37 × 125) / (60 × 74)

2. Next, let's simplify the multiplication: (37 × 125) / (60 × 74) = 4625 / 4440

3. Now, let's simplify the addition of fractions: 3 1/3 can be written as an improper fraction: (3 × 3 + 1) / 3 = 10/3

4. We can now rewrite the expression with the simplified fractions: (4625 / 4440) × (12/25) + (10/3)

5. Multiply the fractions: (4625 × 12) / (4440 × 25) + (10/3)

6. Simplify the multiplication: 55500 / 111000 + (10/3)

7. Add the fractions: (55500 + 37000) / 111000 + (10/3)

8. Combine the numerators: 92500 / 111000 + (10/3)

9. Find a common denominator for addition: The common denominator for 111000 and 3 is 333000.

10. Adjust the fractions: (92500 / 111000) + (10/3) = (92500 / 111000) + (10 * 111000/ 333000)

11. Convert the fractions to have the same denominator: (92500 / 111000) + (370000/ 333000)

12. Add the fractions: (92500 + 370000) / 333000

13. Simplify the addition: 462500 / 333000

14. Reduce the fraction (if possible): The numerator and denominator do not have any common factors other than 1, so the fraction cannot be simplified further.

The final result is 462500/333000, which cannot be simplified further.