To find out how much more rainfall Tucson gets on average compared to Yuma, we need to subtract the average rainfall of Yuma from the average rainfall of Tucson.
1. Convert the mixed numbers to improper fractions:
- Tucson's average rainfall: \(10 \frac{1}{4}\) inches = \(\frac{41}{4}\) inches
- Yuma's average rainfall: \(4 \frac{3}{5}\) inches = \(\frac{23}{5}\) inches
2. Subtract Yuma's average rainfall from Tucson's average rainfall:
\[\text{Difference} = \frac{41}{4} - \frac{23}{5}\]
3. Find a common denominator, which is 20:
\[\frac{41}{4} = \frac{41 \times 5}{4 \times 5} = \frac{205}{20}\]
\[\frac{23}{5} = \frac{23 \times 4}{5 \times 4} = \frac{92}{20}\]
4. Subtract:
\[\text{Difference} = \frac{205}{20} - \frac{92}{20}\]
\[\text{Difference} = \frac{113}{20}\]
So, on average, Tucson gets \(\frac{113}{20}\) inches more rain than Yuma. To express it as a mixed number, we divide the numerator by the denominator:
\[\frac{113}{20} = 5 \frac{13}{20}\]
Therefore, Tucson gets \(5 \frac{13}{20}\) inches more rain, on average, than Yuma.
Hope this helps!
