Mickey mows 1/3 of a lawn in 10 minutes.
So, his rate = (1/3) / 10 = 1/30 lawn/min
Minnie mows 1/4 of the lawn in 6 minutes.
So, his rate = (1/4) / 6 = 1/24 lawn/min
compare the fractions:
[tex]\begin{gathered} \frac{1}{30}\text{ }\frac{1}{24}\text{ } \\ \end{gathered}[/tex]Make the denominator are equal so, the common denominator is ( 30 x 24 = 720 )
So,
[tex]\begin{gathered} \frac{1}{30}=\frac{24}{720} \\ \frac{1}{24}=\frac{30}{720} \\ So, \\ \frac{30}{720}>\frac{24}{720} \\ So,\text{ } \\ \frac{1}{24}>\frac{1}{30} \end{gathered}[/tex]So, the rate of Minnie is faster than Mickey
This is because the rate of Minnie is greater than the rate of Mickey
So, the student reasoning is not correct
