Last week, Omar ran 2 miles. This week, he plans to run 1 1/10 times as far as last week. How many miles does Omar plan to run this week?

Question

Write your answer as a fraction or as a whole or mixed number.

Answer 1

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 $\frac{22}{10}$:

$$\frac{22}{10}=\frac{22÷2}{10÷2}=\frac{11}{5}$$

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:

$$\boxed{{\displaystyle 2\frac{1}{5}}}$$