Question

kaleb jogged 4 ½ kilometers on monday and 3 2/9 kilometers on tuesday. what is the difference between those 2 distances? ______

Explanation:

Step1: Convert mixed numbers to improper fractions

$4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$, $3\frac{2}{9}=\frac{3\times9+2}{9}=\frac{29}{9}$

Step2: Find a common denominator

The least common denominator of 2 and 9 is 18. Convert the fractions: $\frac{9}{2}=\frac{9\times9}{2\times9}=\frac{81}{18}$, $\frac{29}{9}=\frac{29\times2}{9\times2}=\frac{58}{18}$

Step3: Subtract the fractions

$\frac{81}{18}-\frac{58}{18}=\frac{81 - 58}{18}=\frac{23}{18}$

Step4: Convert back to mixed number

$\frac{23}{18}=1\frac{5}{18}$

Answer:

$1\frac{5}{18}$ kilometers