Chapter 11, Problem 2CT

To determine

To Arrange: The numbers in order from least to greatest.

Answer to Problem 2CT

The numbers in order from least to greatest is $\left(\frac{2}{15},\frac{5}{27},\frac{4}{21}\right)$ .

Explanation of Solution

Given information:

The numbers are $\frac{4}{21}$ , $\frac{2}{15}$ and $\frac{5}{27}$ .

Calculation:

The LCM of $21,15$ and $27$ is $945$ .

Make the denominator of the numbers same.

  $\frac{4}{21}\times \frac{45}{45}=\frac{180}{945}$ ..... (1)

  $\frac{2}{15}\times \frac{63}{63}=\frac{126}{945}$ ..... (2)

  $\frac{5}{27}\times \frac{35}{35}=\frac{175}{945}$ ..... (3)

It is clear from above equations that the ascending order will be $\left(\frac{126}{945},\frac{175}{945},\frac{180}{945}\right)$

Therefore, the numbers in order from least to greatest is $\left(\frac{2}{15},\frac{5}{27},\frac{4}{21}\right)$ .