Question

a. plot the following points on the number line without measuring.
i. \\(\frac{1}{3}\\) ii. \\(\frac{5}{6}\\) iii. \\(\frac{7}{12}\\)

use the number line in part (a) to compare the fractions by writing >, <, or = on the lines.
\\(\frac{7}{12}\\) ____ \\(\frac{1}{2}\\) ii. \\(\frac{7}{12}\\) ____ \\(\frac{5}{6}\\)

ot the following
\\(\frac{11}{12}\\)
two fraction >, <, or =.

w you plotted the points in part (a).

lesson 12: reason using benchmarks to compare two fractions on the number line.

Explanation:

Step1: Convert to common denominator

$\frac{1}{2} = \frac{6}{12}$, so $\frac{7}{12} > \frac{6}{12}$

Step2: Convert to common denominator

$\frac{5}{6} = \frac{10}{12}$, so $\frac{7}{12} < \frac{10}{12}$

Answer:

i. $\frac{7}{12} > \frac{1}{2}$
ii. $\frac{7}{12} < \frac{5}{6}$