Question

3/5 × (2 2/3 : 3 1/5)

Answer 1

Ответ: решено верно

1/2

Пошаговое объяснение:

3/5×(2 2/3 ÷ 3 1/5)=3/5×(8/3 × 5/16)=3/5 × 5/6 = 1/2

Answer 2

To solve this expression, you'll need to 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).

Here's the calculation step by step:

1. First, simplify the expressions inside the parentheses:

   2 2/3 : 3 1/5

   To divide mixed numbers, convert them into improper fractions:

   (8/3) : (16/5)

2. Now, divide the fractions:

   (8/3) ÷ (16/5)

   To divide fractions, multiply by the reciprocal of the second fraction:

   (8/3) × (5/16)

3. Multiply the fractions:

   (8/3) × (5/16)

   Multiply the numerators together and the denominators together:

   (8 × 5) / (3 × 16) = 40/48

4. Simplify the fraction:

   40/48 can be simplified by finding the greatest common divisor (GCD) of 40 and 48, which is 8:

   (40 ÷ 8) / (48 ÷ 8) = 5/6

5. Now that you have the simplified fraction, you can multiply it by 3/5:

   (3/5) × (5/6)

6. Multiply the fractions:

   (3/5) × (5/6)

   Multiply the numerators together and the denominators together:

   (3 × 5) / (5 × 6) = 15/30

7. Simplify the fraction:

   15/30 can be simplified by finding the GCD of 15 and 30, which is 15:

   (15 ÷ 15) / (30 ÷ 15) = 1/2

So, 3/5 × (2 2/3 : 3 1/5) equals 1/2.