Write each rational number in the form a/b where a and b are integers
1)-4
2)0
3)5 1/3
4)6.75
5)2 1/8
6)-0.35
7)7.8
-9 3/5

Respuesta :

Answer:

1) [tex]-\frac{4}{1}[/tex]

2)  [tex]\frac{0}{1}[/tex]

3)  [tex]\frac{16}{3}[/tex]

4) [tex]\frac{27}{4}[/tex]

5) [tex]\frac{17}{8}[/tex]

6) [tex]-\frac{7}{20}[/tex]

7) [tex]\frac{39}{5}[/tex]

8) [tex]-\frac{48}{5}[/tex]

Step-by-step explanation:

We know that Rational numbers are those numbers that can be written in the following form:

[tex]\frac{a}{b}[/tex]

Where "a" and "b" are Integers and [tex]b\neq 0[/tex]

Then:

1) [tex]-4[/tex] → [tex]-\frac{4}{1}[/tex]

2) [tex]0[/tex] → [tex]\frac{0}{1}[/tex]

3) Convert from  mixed number to improper fraction:

[tex]5\ \frac{1}{3}=\frac{(5*3)+1}{3}=\frac{16}{3}[/tex]

Then:

[tex]5\ \frac{1}{3} [/tex] → [tex]\frac{16}{3}[/tex]

4) Convert from decimal number to fraction:

[tex]6.75=\frac{6.75*100}{1*100}\frac{675}{100}=\frac{25(27)}{25(4)}= \frac{27}{4}[/tex]

Then:

[tex]6.75 [/tex] → [tex]\frac{27}{4}[/tex]

5) Convert from mixed number to improper fraction:

[tex]2\ \frac{1}{8}=\frac{(2*8)+1}{8}=\frac{17}{8}[/tex]

Then:

[tex]2\ \frac{1}{8}[/tex] → [tex]\frac{17}{8}[/tex]

 6) Convert from decimal number to fraction:

[tex]-0.35=\frac{0.35*100}{1*100} =\frac{35}{100}=\frac{5(7)}{5(20)}= -\frac{7}{20}[/tex]

Then:

[tex]-0.35 [/tex] → [tex]-\frac{7}{20}[/tex]

7) Convert from decimal number to fraction:

[tex]7.8=\frac{7.8*10}{1*10}\frac{78}{10}=\frac{2(39)}{2(5)}= \frac{39}{5}[/tex]

Then:

[tex]7.8 [/tex] → [tex]\frac{39}{5}[/tex]

8) Convert from mixed number to improper fraction:

[tex]-9\ \frac{3}{5}=\frac{(9*5)+3}{5}=-\frac{48}{5}[/tex]

Then:

[tex]-9\ \frac{3}{5}[/tex] → [tex]-\frac{48}{5}[/tex]

Answer:

Answer:

1.1 -110%

7/20 - 0.35

1/1000 - 0.1%

2/25 - 0.8

1/8 - 0.125

16% - 4/25

1.25% - 1/80

3/5 - 60%

0.6 the 6 is repeating - 2/3

1 1/4 - 125%

Step-by-step explanation:

A lot to explain but I made a 100 on my test