Sure, let's go through each rational number and convert them to decimal form step-by-step.
a. [tex]\(\frac{3}{4}\)[/tex]
To convert [tex]\(\frac{3}{4}\)[/tex] to a decimal, divide the numerator by the denominator:
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
b. [tex]\(1 \frac{1}{8}\)[/tex]
First, convert the mixed number [tex]\(1 \frac{1}{8}\)[/tex] to an improper fraction:
[tex]\[
1 \frac{1}{8} = 1 + \frac{1}{8} = \frac{8}{8} + \frac{1}{8} = \frac{9}{8}
\][/tex]
Now divide the numerator by the denominator:
[tex]\[
\frac{9}{8} = 1.125
\][/tex]
c. [tex]\(\frac{9}{5}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{9}{5} = 1.8
\][/tex]
d. [tex]\(\frac{26}{25}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{26}{25} = 1.04
\][/tex]
e. [tex]\(4 \frac{1}{16}\)[/tex]
First, convert the mixed number [tex]\(4 \frac{1}{16}\)[/tex] to an improper fraction:
[tex]\[
4 \frac{1}{16} = 4 + \frac{1}{16} = \frac{64}{16} + \frac{1}{16} = \frac{65}{16}
\][/tex]
Now divide the numerator by the denominator:
[tex]\[
\frac{65}{16} = 4.0625
\][/tex]
f. [tex]\(\frac{15}{32}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{15}{32} = 0.46875
\][/tex]
g. [tex]\(\frac{4}{3}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{4}{3} = 1.3333333333333333
\][/tex]
h. [tex]\(\frac{7}{12}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{7}{12} = 0.5833333333333334
\][/tex]
i. [tex]\(\frac{1}{9}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{1}{9} = 0.1111111111111111
\][/tex]
j. [tex]\(\frac{19}{3}\)[/tex]
Divide the numerator by the denominator:
[tex]\[
\frac{19}{3} = 6.333333333333333
\][/tex]
These are the decimal equivalents for each of the given rational numbers.
