Question

Suki rode her bike 4/5 mile. Claire rode her bike 1/3 mile. they want to compare how far they each rode their bikes using the Benchmark 1/2

Answer 1

Answer:

(a) $\frac{4}{5} > \frac{1}{2}$

(b) $\frac{1}{3} < \frac{1}{2}$

(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 $\frac{4}{5} and \frac{1}{2}$

To compare , we make the denominators same

$\frac{4*2}{5*2} ----- \frac{1*5}{2*5}$

$\frac{8}{10} ----- \frac{5}{10}$

8/10 is greater than 5/10

$\frac{8}{10} > \frac{5}{10}$

Clarie distance is 1/3 miles

Now compare with bechmark 1/2

compare $\frac{1}{3} and \frac{1}{2}$

To compare , we make the denominators same

$\frac{1*2}{3*2} ----- \frac{1*3}{2*3}$

$\frac{2}{6} ----- \frac{3}{6}$

2/6 is less than 3/6

$\frac{2}{6} < \frac{3}{6}$

Now we compare Suki's distance with Clarie

compare $\frac{4}{5} and \frac{1}{3}$

Make the denominators same

$\frac{4*3}{5*3} and \frac{1*5}{3*5}$

$\frac{12}{15} and \frac{5}{15}$

$\frac{12}{15} > \frac{5}{15}$

Suki rode her bike a longer distance than Clarie