Answer:
(a) [tex]\frac{4}{5} > \frac{1}{2}[/tex]
(b) [tex]\frac{1}{3} < \frac{1}{2}[/tex]
(c) Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance is 4/5 miles
Now compare with bechmark 1/2
compare [tex]\frac{4}{5} and \frac{1}{2}[/tex]
To compare , we make the denominators same
[tex]\frac{4*2}{5*2} ----- \frac{1*5}{2*5}[/tex]
[tex]\frac{8}{10} ----- \frac{5}{10}[/tex]
8/10 is greater than 5/10
[tex]\frac{8}{10} > \frac{5}{10}[/tex]
Clarie distance is 1/3 miles
Now compare with bechmark 1/2
compare [tex]\frac{1}{3} and \frac{1}{2}[/tex]
To compare , we make the denominators same
[tex]\frac{1*2}{3*2} ----- \frac{1*3}{2*3}[/tex]
[tex]\frac{2}{6} ----- \frac{3}{6}[/tex]
2/6 is less than 3/6
[tex]\frac{2}{6} < \frac{3}{6}[/tex]
Now we compare Suki's distance with Clarie
compare [tex]\frac{4}{5} and \frac{1}{3}[/tex]
Make the denominators same
[tex]\frac{4*3}{5*3} and \frac{1*5}{3*5}[/tex]
[tex]\frac{12}{15} and \frac{5}{15}[/tex]
[tex]\frac{12}{15} > \frac{5}{15}[/tex]
Suki rode her bike a longer distance than Clarie
