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]
Certainly! Let's convert each of the given rational numbers into decimal numbers step-by-step.
### a. [tex]\(\frac{3}{4}\)[/tex] Convert [tex]\(\frac{3}{4}\)[/tex] to a decimal: [tex]\[
\frac{3}{4} = 0.75
\][/tex]
### b. [tex]\(1 \frac{1}{8}\)[/tex] Convert [tex]\(1 \frac{1}{8}\)[/tex] (which is a mixed number) to a decimal: [tex]\[
1 \frac{1}{8} = 1 + \frac{1}{8} = 1 + 0.125 = 1.125
\][/tex]
### c. [tex]\(\frac{9}{5}\)[/tex] Convert [tex]\(\frac{9}{5}\)[/tex] to a decimal: [tex]\[
\frac{9}{5} = 1.8
\][/tex]
### d. [tex]\(\frac{26}{25}\)[/tex] Convert [tex]\(\frac{26}{25}\)[/tex] to a decimal: [tex]\[
\frac{26}{25} = 1.04
\][/tex]
### e. [tex]\(4 \frac{1}{16}\)[/tex] Convert [tex]\(4 \frac{1}{16}\)[/tex] (which is a mixed number) to a decimal: [tex]\[
4 \frac{1}{16} = 4 + \frac{1}{16} = 4 + 0.0625 = 4.0625
\][/tex]
### f. [tex]\(\frac{15}{32}\)[/tex] Convert [tex]\(\frac{15}{32}\)[/tex] to a decimal: [tex]\[
\frac{15}{32} = 0.46875
\][/tex]
### g. [tex]\(\frac{4}{3}\)[/tex] Convert [tex]\(\frac{4}{3}\)[/tex] to a decimal: [tex]\[
\frac{4}{3} = 1.3333333333333333
\][/tex]
### h. [tex]\(\frac{7}{12}\)[/tex] Convert [tex]\(\frac{7}{12}\)[/tex] to a decimal: [tex]\[
\frac{7}{12} = 0.5833333333333334
\][/tex]
### i. [tex]\(\frac{1}{9}\)[/tex] Convert [tex]\(\frac{1}{9}\)[/tex] to a decimal: [tex]\[
\frac{1}{9} = 0.1111111111111111
\][/tex]
### j. [tex]\(\frac{19}{3}\)[/tex] Convert [tex]\(\frac{19}{3}\)[/tex] to a decimal: [tex]\[
\frac{19}{3} = 6.333333333333333
\][/tex]
Here are the decimal conversions for each rational number: a. [tex]\( \frac{3}{4} = 0.75 \)[/tex] b. [tex]\( 1 \frac{1}{8} = 1.125 \)[/tex] c. [tex]\( \frac{9}{5} = 1.8 \)[/tex] d. [tex]\( \frac{26}{25} = 1.04 \)[/tex] e. [tex]\( 4 \frac{1}{16} = 4.0625 \)[/tex] f. [tex]\( \frac{15}{32} = 0.46875 \)[/tex] g. [tex]\( \frac{4}{3} = 1.3333333333333333 \)[/tex] h. [tex]\( \frac{7}{12} = 0.5833333333333334 \)[/tex] i. [tex]\( \frac{1}{9} = 0.1111111111111111 \)[/tex] j. [tex]\( \frac{19}{3} = 6.333333333333333 \)[/tex]
