Question

2 1/3+4 1/10÷(2 7/15-5/12)×1 1/4​

Answer 1

2 1/3 + 4 1/10 : (2 7/15 - 5/12) · 1 1/4 = 4 5/6

1) 2 7/15 - 5/12 = 2 28/60 - 25/60 = 2 3/60 = 2 1/20

2) 4 1/10 : 2 1/20 = 41/10 : 41/20 = 41/10 · 20/41 = 20/10 = 2

3) 2 · 1 1/4 = 2 · 5/4 = 5/2 = 2 1/2

4) 2 1/3 + 2 1/2 = 2 2/6 + 2 3/6 = 4 5/6

Ответ: 4 целых 5/6.

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses first E: Exponents (none in this expression) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

Step 1: Simplify the expression inside the parentheses. 2 7/15 - 5/12 To perform the subtraction, we need a common denominator, which is 60. So, convert the fractions: (2 * 4 + 7) / 15 - 5 / 12 (8 + 7) / 15 - 5 / 12 15 / 15 - 5 / 12 1 - 5 / 12

Step 2: Perform the subtraction: 1 - 5 / 12 To get a common denominator, convert 1 to 12/12: 12/12 - 5 / 12 (12 - 5) / 12 7 / 12

Now, the expression inside the parentheses becomes 7/12:

Step 3: Continue with multiplication and division: 4 1/10 ÷ 7/12 × 1 1/4

To divide fractions, invert the second fraction and multiply: 4 1/10 × 12/7 × 1 1/4

Convert mixed numbers to improper fractions: (41/10) × (12/7) × (5/4)

Step 4: Multiply the fractions: (41/10) × (12/7) × (5/4) = 820/280

Step 5: Simplify the fraction: 820/280 = 41/14

Now, we have the new expression: 41/14

Step 6: Add the fractions: 2 1/3 + 41/14

To add mixed numbers, convert the mixed number to an improper fraction: (2 * 3 + 1) / 3 + 41/14 (6 + 1) / 3 + 41/14 7 / 3 + 41/14

Step 7: Get a common denominator to add the fractions: (7 * 14) / (3 * 14) + 41/14 98/42 + 41/14

Step 8: Add the fractions: (98 + 41) / 42 139/42

Now, the final result is: 139/42

If needed, you can further simplify the fraction or convert it back to a mixed number.