Question

2:3/5+3/5:2+1 1/2:6+6:1 1/2=​

Answer 1

Пошаговое объяснение:

$\\ \\ 2 \div \frac{3}{5} + \frac{3}{5} \div 2 + 1 \frac{1}{2} \div 6 + 6 \div 1 \frac{1}{2} = \\ \\ = 2 \times \frac{5}{3} + \frac{3}{5} \times \frac{1}{2} + \frac{3}{2} \times \frac{1}{6} + 6 \div \frac{3}{2} = \\ \\ = \frac{10}{3} + \frac{3}{10 } + \frac{3}{12} + 6 \times \frac{2}{3} = \\ \\ = \frac{10}{3} + \frac{3}{10} + \frac{1}{4} + \frac{12}{3} = \\ \\ = \frac{10}{3} + \frac{3}{10} + \frac{1}{4} + 4 = \\ \\ = \frac{10 \times 20 + 3 \times 6 + 1 \times 15 + 4 \times 60}{60} = \\ \\ = \frac{200 + 18 + 15 + 240}{60} = \frac{473}{60} = 7 \frac{53}{60}$

Answer 2

To solve this expression, you can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

1. Let's start with the first part of the expression: 2:3/5 + 3/5:2 + 1 1/2.
2. We will first perform the divisions:
   • 2 divided by 3/5: (2 ÷ (3/5)) = 2 ÷ (3/5) = 2 * (5/3) = 10/3
   • 3/5 divided by 2: (3/5) ÷ 2 = (3/5) * (1/2) = 3/10
3. Now, the expression becomes: 10/3 + 3/10 + 1 1/2.

To add the fractions and the mixed number:

4. First, find a common denominator for the fractions, which is 30.

   • (10/3) = (10/3) * (10/10) = 100/30
   • (3/10) = (3/10) * (3/3) = 9/30

5. The expression is now: 100/30 + 9/30 + 1 1/2.

6. Add the fractions: (100/30 + 9/30) = 109/30.

7. Now, you have: 109/30 + 1 1/2.

8. Convert the mixed number to an improper fraction:

   • 1 1/2 = (2/2) + 1/2 = 3/2

9. Now, the expression is: 109/30 + 3/2.

10. Find a common denominator for the fractions, which is 30:

    • (109/30) remains the same.
    • (3/2) = (3/2) * (15/15) = 45/30.

11. Add the fractions: (109/30 + 45/30) = 154/30.

12. Simplify the fraction:

    • 154/30 = 77/15.

So, the final result of the expression 2:3/5 + 3/5:2 + 1 1/2 is 77/15.