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Transforma los siguientes números racionales a números decimales. Redacta el proceso. Si el resultado del decimal es largo, solo toma las dos primeras cifras (por ejemplo, 1,87281992 = 1,87).

a. [tex] \frac{9}{5} [/tex]
b. [tex] \frac{1}{8} [/tex]
c. [tex] \frac{93}{9} [/tex]
d. [tex] \frac{5}{3} [/tex]
e. [tex] \frac{89}{11} [/tex]
f. [tex] \frac{60}{4} [/tex]

Answer :

Sure! Let's transform the given rational numbers to decimals and round them to two decimal places. I'll explain each step in detail:

### a. [tex]\(\frac{9}{5}\)[/tex]
To convert this fraction to a decimal, divide the numerator (9) by the denominator (5):
[tex]\[
\frac{9}{5} = 1.8
\][/tex]
So, the decimal form is 1.8.

### b. [tex]\(\frac{5}{3}\)[/tex]
Next, divide the numerator (5) by the denominator (3):
[tex]\[
\frac{5}{3} \approx 1.666666...
\][/tex]
Rounded to two decimal places, the decimal form is 1.67.

### c. [tex]\(\frac{1}{8}\)[/tex]
Divide the numerator (1) by the denominator (8):
[tex]\[
\frac{1}{8} = 0.125
\][/tex]
Rounded to two decimal places, the decimal form is 0.12.

### d. [tex]\(\frac{89}{11}\)[/tex]
Now, divide the numerator (89) by the denominator (11):
[tex]\[
\frac{89}{11} \approx 8.090909...
\][/tex]
Rounded to two decimal places, the decimal form is 8.09.

### e. [tex]\(\frac{93}{9}\)[/tex]
Divide the numerator (93) by the denominator (9):
[tex]\[
\frac{93}{9} \approx 10.333333...
\][/tex]
Rounded to two decimal places, the decimal form is 10.33.

### f. [tex]\(\frac{60}{4}\)[/tex]
Finally, divide the numerator (60) by the denominator (4):
[tex]\[
\frac{60}{4} = 15
\][/tex]
So, the decimal form is 15.0.

### Summary
Here are the fractions converted to decimals rounded to two decimal places:

- [tex]\(\frac{9}{5} \rightarrow 1.80\)[/tex]
- [tex]\(\frac{5}{3} \rightarrow 1.67\)[/tex]
- [tex]\(\frac{1}{8} \rightarrow 0.12\)[/tex]
- [tex]\(\frac{89}{11} \rightarrow 8.09\)[/tex]
- [tex]\(\frac{93}{9} \rightarrow 10.33\)[/tex]
- [tex]\(\frac{60}{4} \rightarrow 15.00\)[/tex]

I hope this helps! If you have any more questions, feel free to ask.

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