Let's evaluate the expression: ((-1, 56 - 1, 24) \times (-1 , 5/14)).
First, clarify the notation. It looks like you are using commas instead of decimal points or as thousand separators. Assuming the following:
- The first pair: ((-1, 56 - 1, 24))
Could mean:
- (-1.56 - 1.24) (if commas are decimal points)
- Or ((-1, 56) - (1, 24)) (if commas separate hundreds and units)
Given the context, I will assume they represent decimal numbers. So:
[
(-1.56) - (1.24)
]
Now, let's compute:
[
-1.56 - 1.24 = -2.80
]
Next, the second term:
(-1, 5/14)
which is a mixed number:
[
-1, \frac{5}{14}
]
Convert to an improper fraction:
[
-1 \frac{5}{14} = - \left(1 + \frac{5}{14}\right) = - \frac{14}{14} - \frac{5}{14} = - \frac{19}{14}
]
Now, multiply:
[
-2.80 \times - \frac{19}{14}
]
Recall that a negative times a negative is positive:
[
2.80 \times \frac{19}{14}
]
Convert 2.80 to a fraction:
[
2.80 = \frac{280}{100} = \frac{28}{10} = \frac{14}{5}
]
So:
[
\frac{14}{5} \times \frac{19}{14}
]
Multiply numerators and denominators:
[
\frac{14 \times 19}{5 \times 14}
]
The 14 factors cancel out:
[
\frac{19}{5}
]
which equals:
[
3 \frac{4}{5}
]
or as a decimal:
[
3.8
]
Final answer:
[
\boxed{3 \frac{4}{5} \quad \text{or} \quad 3.8}
]
