To determine how many miles Omar plans to run this week, we start with the distance he ran last week, which is 2 miles, and then calculate 1 1/10 times that distance.
First, we convert 1 1/10 to an improper fraction:
\[ 1 \frac{1}{10} = \frac{10}{10} + \frac{1}{10} = \frac{11}{10} \]
Next, we multiply the distance from last week by this fraction:
\[ \text{Distance this week} = 2 \times \frac{11}{10} \]
We can express the 2 as a fraction:
\[ 2 = \frac{2}{1} \]
Now we multiply the two fractions:
\[ \frac{2}{1} \times \frac{11}{10} = \frac{2 \times 11}{1 \times 10} = \frac{22}{10} \]
Next, we simplify \(\frac{22}{10}\):
\[ \frac{22}{10} = \frac{22 \div 2}{10 \div 2} = \frac{11}{5} \]
Now we convert \(\frac{11}{5}\) into a mixed number:
\[ \frac{11}{5} = 2 \frac{1}{5} \]
Thus, the number of miles Omar plans to run this week is:
\[ \boxed{2 \frac{1}{5}} \]
3 answers