Answer:
Mr. Lopez mowed most of the lawn.
There is still [tex]\frac{7}{24}[/tex] of the lawn left to mow.
Step-by-step explanation:
1. Convert [tex]\frac{3}{8}[/tex] and [tex]\frac{1}{3}[/tex] so that they have a common denominator.
Multiply [tex]\frac{3}{8}[/tex] by 3, and [tex]\frac{1}{3}[/tex] by 8 to get [tex]\frac{9}{24}[/tex] and [tex]\frac{8}{24}[/tex].
2. Since [tex]\frac{3}{8}[/tex] is equal to [tex]\frac{9}{24}[/tex], and [tex]\frac{9}{24}[/tex] is therefore what Mr. Lopez mowed of the lawn, Mr. Lopez mowed the most of the lawn.
3. To find how much of the lawn still needs to be mowed, add our two fractions together, then subtract by the total amount of lawn:
[tex]\frac{9}{24} +\frac{8}{24} = \frac{17}{24}[/tex]
[tex]\frac{24}{24} - \frac{17}{24} = \frac{7}{24}[/tex]
4. So, there is still [tex]\frac{7}{24}[/tex] of the lawn left to mow.
