Answer: OPTION D.
Step-by-step explanation:
The complete exercise is: "Which arrangement shows [tex]3\frac{1}{8}[/tex], 3.7, [tex]3\frac{3}{4}[/tex], and 3.89 in order from least to greatest?"
Convert from mixed numbers to decimal numbers.
The steps to do this, are the following:
1. You must divide the numerator of the fraction by the denominator.
2. Then you must add the quotient obtained to the whole number part.
Applying this procedure, you get that:
[tex]3\frac{1}{8}=3+0.125=3.125[/tex]
[tex]3\frac{3}{4}=3+0.75=3.75[/tex]
Now that you have all the numbers in decimal form, you can order from least to greatest:
[tex]3.125,\ 3.7,\ 3.75,\ 3,89[/tex]
Therefore, you can conclude that the correct arrangement is:
[tex]3\frac{1}{8},\ 3.7,\ 3\frac{3}{4},\ 3,89[/tex]
