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                                     Question # 22

Answer:

  • 1/4 and 2/8 are equivalent.
  • 3/4 and 6/8 are equivalent
  • 8/8 and 4/4 are equivalent.

Step-by-step explanation:                                

  • 1/4 and 2/8 are equivalent.

Reason: When you reduce 2/8 to the simplest form, it will reduce to 1/4.

Divide each nominator and denominator of the ratio 2/8 by 2.

[tex]\frac{\frac{2}{2} }{\frac{8}{2} }= \frac{1}{4}[/tex]

  • 3/4 and 6/8 are equivalent.

Reason: When you reduce 6/8 to the simplest form, it will reduce to 3/4.

Divide each nominator and denominator of the ratio 6/8 by 2.

[tex]\frac{\frac{6}{2} }{\frac{8}{2} }= \frac{3}{4}[/tex]

  • 8/8 and 4/4 are equivalent.

Reason: 8/8 can be reduced to 4/4 form if each nominator and denominator of 8/8 is divided by 2.

[tex]\frac{\frac{8}{2} }{\frac{8}{2} }= \frac{4}{4}[/tex]

Please note: 4/4 can be further reduced to the simplest form 1/1, if each nominator and denominator of 4/4 is divided by 4.

Keywords: ratio, equivalent ratio, fraction

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