Respuesta :
Answer:
[tex](1)\ -\frac{6}{5}[/tex]
Equivalents: -12/10, -18/15, -24/20, - 30/25, -36/30
[tex](2)\ -\frac{8}{10}[/tex]
Equivalents: -4/5, 16/20, -24/30, -32/40, -80/100
Step-by-step explanation:
Given
[tex](1)\ -\frac{6}{5}[/tex]
[tex](2)\ -\frac{8}{10}[/tex]
Required
5 equivalent numbers for each
To do this, we carry out the same operation on the numerator and the denominator of the fraction
[tex](1)\ -\frac{6}{5}[/tex]
Multiply by 2/2
[tex]-\frac{6}{5} * \frac{2}{2} = -\frac{12}{10}[/tex]
by 3/3
[tex]-\frac{6}{5} * \frac{3}{3} = -\frac{18}{15}[/tex]
by 4/4
[tex]-\frac{6}{5} * \frac{4}{4} = -\frac{24}{20}[/tex]
by 5/5
[tex]-\frac{6}{5} * \frac{5}{5} = -\frac{30}{25}[/tex]
by 6/6
[tex]-\frac{6}{5} * \frac{6}{6} = -\frac{36}{30}[/tex]
[tex](2)\ -\frac{8}{10}[/tex]
Divide by 2/2
[tex]-\frac{8}{10}= -\frac{8/2}{10/2}[/tex]
[tex]-\frac{8}{10}= -\frac{4}{5}[/tex]
Multiply by 2/2
[tex]-\frac{8}{10} =-\frac{8*2}{10*2}[/tex]
[tex]-\frac{8}{10}= -\frac{16}{20}[/tex]
Multiply by 3/3
[tex]-\frac{8}{10}= -\frac{8*3}{10*3}[/tex]
[tex]-\frac{8}{10} =-\frac{24}{30}[/tex]
Multiply by 4/4
[tex]-\frac{8}{10} = -\frac{8*4}{10*4}[/tex]
[tex]-\frac{8}{10}= -\frac{32}{40}[/tex]
Multiply by 10/10
[tex]-\frac{8}{10}= -\frac{8}{10} * \frac{10}{10}[/tex]
[tex]-\frac{8}{10}= -\frac{80}{100}[/tex]