Question

-(6,74-5 8/9)-(0,26-1 1/9)

Answer 1

Ответ:

$- (6.74 - 5 \frac{8}{9} ) - (0.26 - 1 \frac{1}{9} ) = - (6.74 - \frac{53}{9} ) - (0.26 - \frac{10}{9} ) = - ( \frac{337}{50} - \frac{53}{9} ) - ( \frac{13}{50} - \frac{10}{9} ) = - ( \frac{3033 - 2650}{450} ) - ( - \frac{117 - 500}{450}) = - \frac{383}{450} - ( - \frac{383}{450} ) = - \frac{383}{450} + \frac{383}{450} = 0$

Answer 2

To simplify the expression -(6.74 - 5 8/9) - (0.26 - 1 1/9), you can follow these steps:

1. Subtract 5 8/9 from 6.74: 6.74 - 5 8/9 = 6.74 - (5 + 8/9)

2. To subtract a mixed number from a decimal number, convert the mixed number to a decimal number: 5 8/9 = 5 + 8/9 = 5 + 0.888... (recurring decimal)

3. Subtract 0.888... from 6.74: 6.74 - 0.888... = 6.74 - 0.888... ≈ 5.851...

4. Similarly, convert 1 1/9 to a decimal number: 1 1/9 = 1 + 1/9 = 1 + 0.111...

5. Subtract 0.111... from 0.26: 0.26 - 0.111... ≈ 0.148...

Now, we have the expression as -(5.851...) - (0.148...). To subtract these decimals, you can treat them as regular decimals and then negate the result:

-5.851... - 0.148... ≈ -5.999...

So, the simplified expression is approximately equal to -5.999... (which is essentially -6).