## Task 3 - 030713

How can one determine without performing the specified arithmetic operations whether the number

$$
\frac{378 \cdot 436-56}{378+436 \cdot 377}
$$

is greater or less than 1?
It holds that

$$
\frac{378 \cdot 436-56}{378+436 \cdot 377}=\frac{377 \cdot 436+436-56}{436 \cdot 377+378}=\frac{377 \cdot 436+380}{377 \cdot 436+378}
$$

Since the numerator is greater than the denominator, the number is greater than 1.