## Task 4 - V00704

Which of the two numbers is the larger?

$$
\frac{35}{47} \quad \text { or } \quad \frac{23}{31}
$$

Which four-digit decimal fraction is closest to both numbers?
By "cross-multiplying" of $\frac{35}{47} \gtreqless \frac{23}{31}$, we get $35 \cdot 31=1085 \gtreqless 1081=23 \cdot 47$, i.e., the left fraction is the larger one, so $\frac{35}{47}>\frac{23}{31}$.

The arithmetic mean of both fractions is $\frac{1083}{1457} \approx 0.74331$, which means the desired decimal fraction is 0.7433.