Answer:
Distance from home to school =[tex]\frac{1}{4}\times 3= \frac{3}{4}\ mile[/tex]
Step-by-step explanation:
Let the distance from home to school be = [tex]x[/tex] miles
After walking [tex]\frac{1}{4}[/tex] mile, Han is [tex]\frac{1}{3}[/tex]rd of the way.
[tex]\frac{1}{3} \textrm{ of the total distance } = \frac{1}{4}\ mile[/tex]
[tex]\frac{1}{3}x= \frac{1}{4}\ mile[/tex]
Multiplying both sides by [tex]3[/tex]
[tex]3\times\frac{1}{3}x= \frac{1}{4}\times 3[/tex]
[tex]x= \frac{3}{4}\ mile[/tex]
Distance from home to school =[tex]\frac{3}{4}\ mile[/tex]
