The fractions 7/8, 5/11, 2/3 arranged in least to greatest form is
![(5)/(11), (2)/(3), (7)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/litgfqi70c57cnc5205fm5l9ypb6d8xapw.png)
Solution:
We have been given three numbers and have been asked to arrange it from least to greatest value.
The numbers we have been given are fraction.
![(7)/(8), (5)/(11) \text { and } (2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n6meiejm0iu9272bn1e0lnvdk7dby8yuf7.png)
Since the given numbers are fractions, to compare them we need to have a common denominator or they can be converted to decimal form.
For the simplicity of the calculation we will convert the given fractions to decimals.
![\begin{array}{l}{(7)/(8)=0.875} \\\\ {(5)/(11)=0.454} \\\\ {(2)/(3)=0.666}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/74o18g7qf3bksxwjlppt6hur7wg00u25ez.png)
So, from the above calculated numbers we can arrange them in ascending order as follows:
0.454,0.666,0.875.
So, if we rewrite the numbers in fraction form we get:
![(5)/(11), (2)/(3), (7)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/litgfqi70c57cnc5205fm5l9ypb6d8xapw.png)
Therefore, the fractions arranged in least to greatest is
![(5)/(11), (2)/(3), (7)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/litgfqi70c57cnc5205fm5l9ypb6d8xapw.png)