Question

3 2/5×(1 2/3-3/6)+(1/4+5/8)×2​

Answer 1

Ответ:

Пошаговое объяснение:

3  2/5*(1  2/3 - 3/6) + (1/4 + 5/8)*2 = 17/5(1  4/6 - 3/6) + (2/8 + 5/8)*2 = 17/5*7/6 + 7/4 = 119/30 + 7/4 = 238/60 + 105/60 = 343/60 = 5  43/60

Answer 2

To solve the expression 3 2/5 × (1 2/3 - 3/6) + (1/4 + 5/8) × 2, we'll break it down step by step following the order of operations (PEMDAS/BODMAS):

1. First, we'll simplify the subtraction inside the parentheses:

   1 2/3 - 3/6 = (3/3 + 2/3) - (1/2) = 5/3 - 1/2

2. Find a common denominator, which is 6, to subtract the fractions:

   (5/3 * 2/2) - (3/6 * 3/3) = (10/6) - (9/6) = (10 - 9)/6 = 1/6

3. Now, we'll go back to the original expression:

   3 2/5 × (1/6) + (1/4 + 5/8) × 2

4. Multiply the whole number by the fraction:

   (3 * 5/5) × (1/6) = 15/5 × 1/6

5. Simplify the fraction:

   (15/5) × (1/6) = (3) × (1/6) = 3/6

6. Reduce the fraction to its simplest form:

   3/6 = 1/2

7. Now, we'll work on the second part of the expression:

   (1/4 + 5/8) × 2

8. Find a common denominator for the fractions:

   (2/8 + 5/8) × 2 = (7/8) × 2

9. Multiply the fractions:

   (7/8) × 2 = (7/4)

10. Finally, add the results from steps 6 and 9:

    1/2 + 7/4

11. Find a common denominator, which is 4:

    (2/4) + (7/4) = (2 + 7)/4 = 9/4

So, the final result of the expression is 9/4.