Question:
Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?
A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm
Answer:
Option D
[tex]1\frac{9}{10}[/tex] more centimeters of rain fell during this week than last week
Solution:
From given,
[tex]Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm[/tex]
Also given that,
[tex]This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm[/tex]
How many more centimeters of rain fell during the week?
[tex]This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}[/tex]
Thus [tex]1\frac{9}{10}[/tex] more centimeters of rain fell during this week than last week
