Answer:
The number of miles travelled by Kelly in one hour is [tex]\frac{52}{95}[/tex].
Step-by-step explanation:
Let's find Kelly's speed. Remember the expression of speed:
[tex]speed = \frac{distance}{time}[/tex]
The best way to divide this fractions is by converting the mixed numbers into improper fractions:
[tex]2\frac{3}{5} = \frac{13}{5}\\4\frac{3}{4} = \frac{19}{4}[/tex]
Then we divide the improper fractions:
[tex]\frac{13}{5} : \frac{19}{4}[/tex]
When we divide fractions, we can change into multiplication of fractions by writing the reciprocal of the second factor. The reciprocal of a fraction is a fraction in which numerator and denominator have been switched. For example, the reciprocal of 2 is 1/2 and the reciprocal of 13 is 1/13:
[tex]\frac{13}{5} * \frac{4}{19}//\frac{13*4}{5*19}//\frac{52}{95}[/tex]
Therefore, the number of miles travelled by Kelly is [tex]\frac{52}{95}[/tex].
