Question

Order$4\frac{4}{5},4.85,2\frac{5}{8},$ and from least to greatest.

Short answer

The true order is $2.6<2\frac{5}{8}<4\frac{4}{5}<4.85$.

Step-by-step solution

Step 1. Convert the fraction into decimal.

$\begin{array}{l}4\frac{4}{5}=\frac{24}{5}\\ 4\frac{4}{5}=4.8\end{array}$

And

$\begin{array}{l}2\frac{5}{8}=\frac{21}{8}\\ 2\frac{5}{8}=2.625\end{array}$

Step 2. Representation of negative sign.

Suppose two integers x and y are given and $x>y$, negative integers x and y will be$-x<-y$.

Step 3. Arrange the order of given numbers from least to greatest.

$2.6<2.625<4.8<4.85$

Therefore,

$2.6<2\frac{5}{8}<4\frac{4}{5}<4.85$