Question

2/9×0,625×4,5+0,175 -------------------------‐---- 6/7×2 1/3-1 1/6×6/7

Answer 1

Ответ:

$\frac{2}{9} \times 0.625 \times 4.5 + 0.175 = \frac{2}{9} \times \frac{625}{1000} \times \frac{45}{10} + \frac{175}{1000} = \frac{56250}{90000} + 0.175 = 0.625 + 0.175 = 0.8 \\ \frac{6}{7} \times \frac{7}{3} - \frac{7}{6} \times \frac{6}{7} = 2 - 1 = 1$

Answer 2

To solve this mathematical expression, you can follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) and simplify step by step. Here's how you can break it down:

1. First, simplify each fraction:

• 2/9 × 0.625 = 0.13889 (approximately)

2. Now, perform the multiplication and division operations from left to right:

• 0.13889 × 4.5 = 0.625 (approximately)

3. Next, deal with the addition:

• 0.625 + 0.175 = 0.8 (approximately)

4. Moving on to the denominator:

• 6/7 × 2 1/3 = 6/7 × 7/3 = 14/21 = 2/3

5. Lastly, subtract and multiply:

• 1 1/6 × 6/7 = 7/6 × 6/7 = 7/7 = 1

Now, you have the following expression:

0.8 / (2/3 - 1)

To simplify the division within the parentheses, invert and multiply:

0.8 / (2/3 - 1) = 0.8 / (2/3 - 3/3) = 0.8 / (-1/3)

To divide by a fraction, multiply by its reciprocal:

0.8 / (-1/3) = 0.8 * (-3) = -2.4

So, the final result is approximately -2.4.