Convert the following rational numbers into decimal numbers.

a. [tex]\frac{3}{4}[/tex]

b. [tex]1 \frac{1}{8}[/tex]

c. [tex]\frac{9}{5}[/tex]

d. [tex]\frac{26}{25}[/tex]

e. [tex]4 \frac{1}{16}[/tex]

f. [tex]\frac{15}{32}[/tex]

g. [tex]\frac{4}{3}[/tex]

h. [tex]\frac{7}{12}[/tex]

i. [tex]\frac{1}{9}[/tex]

j. [tex]\frac{19}{3}[/tex]



Answer :

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.