Question

put these numbers in order from least to greatest.
1.09
1.49
1\frac{5}{8}
\frac{3}{2}

Explanation:

Step1: Convert mixed number and fraction to decimals

First, convert \(1\frac{5}{8}\) to a decimal. \(1\frac{5}{8}=1 + \frac{5}{8}\), and \(\frac{5}{8}=5\div8 = 0.625\), so \(1\frac{5}{8}=1.625\). Then, \(\frac{3}{2}=3\div2 = 1.5\).

Step2: Compare the decimals

Now we have the numbers as decimals: \(1.09\), \(1.49\), \(1.625\), and \(1.5\).
Comparing the tenths place first:

• \(1.09\) has \(0\) in the tenths place.
• \(1.49\) has \(4\) in the tenths place.
• \(1.5\) (which is \(1.50\)) has \(5\) in the tenths place.
• \(1.625\) has \(6\) in the tenths place.

So from least to greatest, we order them by comparing the decimals: \(1.09\), \(1.49\), \(1.5\) (which is \(\frac{3}{2}\)), \(1.625\) (which is \(1\frac{5}{8}\)).

Answer:

\(1.09\), \(1.49\), \(\frac{3}{2}\), \(1\frac{5}{8}\)