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]

ACCESS MORE