Answer:
[tex]1\frac{3}{10}<1.6<1\frac{5}{8}[/tex]
Explanation:
Given the below numbers;
[tex]1\frac{5}{8},1\frac{3}{10},1.6[/tex]
To be able to order the above numbers from the least to the greatest, let's first convert the mixed numbers to improper fractions as seen below;
[tex]\begin{gathered} 1\frac{5}{8}=\frac{(1\cdot8)+5}{8}=\frac{13}{8} \\ 1\frac{3}{10}=\frac{(10\cdot1)+3}{10}=\frac{13}{10} \end{gathered}[/tex]
Let's now convert the improper fractions to decimal numbers;
[tex]\begin{gathered} \frac{13}{8}=1.625 \\ \frac{13}{10}=1.3 \\ \text{And we were given the third number as 1.6} \end{gathered}[/tex]
From the above, we can go and order the numbers from the least to greatest as;
[tex]1\frac{3}{10}<1.6<1\frac{5}{8}[/tex]
