Question

Write each rational number in the form a/b where a and b are integers

Answer 1

Answer:

1) $-\frac{4}{1}$

2)  $\frac{0}{1}$

3)  $\frac{16}{3}$

4) $\frac{27}{4}$

5) $\frac{17}{8}$

6) $-\frac{7}{20}$

7) $\frac{39}{5}$

8) $-\frac{48}{5}$

Step-by-step explanation:

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

$\frac{a}{b}$

Where "a" and "b" are Integers and $b\neq 0$

Then:

1) $-4$ → $-\frac{4}{1}$

2) $0$ → $\frac{0}{1}$

3) Convert from  mixed number to improper fraction:

$5\ \frac{1}{3}=\frac{(5*3)+1}{3}=\frac{16}{3}$

Then:

$5\ \frac{1}{3}$ → $\frac{16}{3}$

4) Convert from decimal number to fraction:

$6.75=\frac{6.75*100}{1*100}\frac{675}{100}=\frac{25(27)}{25(4)}= \frac{27}{4}$

Then:

$6.75$ → $\frac{27}{4}$

5) Convert from mixed number to improper fraction:

$2\ \frac{1}{8}=\frac{(2*8)+1}{8}=\frac{17}{8}$

Then:

$2\ \frac{1}{8}$ → $\frac{17}{8}$

 6) Convert from decimal number to fraction:

$-0.35=\frac{0.35*100}{1*100} =\frac{35}{100}=\frac{5(7)}{5(20)}= -\frac{7}{20}$

Then:

$-0.35$ → $-\frac{7}{20}$

7) Convert from decimal number to fraction:

$7.8=\frac{7.8*10}{1*10}\frac{78}{10}=\frac{2(39)}{2(5)}= \frac{39}{5}$

Then:

$7.8$ → $\frac{39}{5}$

8) Convert from mixed number to improper fraction:

$-9\ \frac{3}{5}=\frac{(9*5)+3}{5}=-\frac{48}{5}$

Then:

$-9\ \frac{3}{5}$ → $-\frac{48}{5}$