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activity 1 order the fractions from least to greatest. \\(\\frac{9}{9},…

Question

activity 1
order the fractions from least to greatest.
\\(\frac{9}{9}, \frac{2}{9}, \frac{4}{9}, \frac{1}{9}, \frac{5}{9}\\)
____ __ __ __ ____
least \t\t\t\t\t\t\tgreatest
common multiples
activity 2
write common multiples as directed in each problem.

  1. write two common multiples.

\t\t4
\t\t12

  1. write two common multiples.

\t\t3
\t\t12

  1. write three common multiples.

\t\t2
\t\t20

  1. write four common multiples.

\t\t4
\t\t6

Explanation:

Activity 1 Step1: Compare numerators (same denominator)

Fractions: $\frac{1}{9}, \frac{2}{9}, \frac{4}{9}, \frac{5}{9}, \frac{9}{9}$

Activity 2 Step1: Find LCM of 4 and 12

$\text{LCM}(4,12)=12$; Multiples: $12, 24$

Activity 2 Step2: Find LCM of 3 and 12

$\text{LCM}(3,12)=12$; Multiples: $12, 24$

Activity 2 Step3: Find LCM of 2 and 20

$\text{LCM}(2,20)=20$; Multiples: $20, 40, 60$

Activity 2 Step4: Find LCM of 4 and 6

$\text{LCM}(4,6)=12$; Multiples: $12, 24, 36, 48$

Answer:

Activity 1 (least to greatest):

$\frac{1}{9}$, $\frac{2}{9}$, $\frac{4}{9}$, $\frac{5}{9}$, $\frac{9}{9}$

Activity 2:

  1. $12$, $24$
  2. $12$, $24$
  3. $20$, $40$, $60$
  4. $12$, $24$, $36$, $48$