Explore Fraction Concepts with Examples and Questions

Express $\frac{1}{11}$ as a repeating decimal, using a slash to indicate the repeating digits. What are the decimal expansions of the following fractions: $\frac{2}{11},\frac{3}{11},\frac{9}{11}\text{ and }\frac{11}{11}$?

For each of the sets below, determine whether {2} is an element of that set.

a) ${\displaystyle \{x\in R\mid \text{x is an integer greater than 1}\}}$
b) ${\displaystyle \{x\in R\mid \text{x is the square of an integer}\}}$

c) $\{2,\{2\}\}$

d) $\{\{2\},\{\{2\}\}\}$

e) $\{\{2\},\{2,\{2\}\}\}$

f) $\{\{\{2\}\}\}$

Write the improper fraction as a mixed number. $\frac{14}{5}$

An athlete must travel 30 km in his last 5 days of preparation for a competition. the first day runs ${\displaystyle \frac{23}{2}}$ km, the second ${\displaystyle \frac{15}{4}}$ km, the third day ${\displaystyle \frac{16}{3}}$ km and the fourth day​​​​​​​ ${\displaystyle \frac{35}{6}}$ km. How much km did the athlete travel in these four days?

Solve the equation

$\frac{3}{\sqrt{2x}}$

5 rows of ? $=30$

$5\cdot ?=30$

$\frac{30}{5}=?$