Respuesta :

Step-by-step explanation:

2/3=4/6=6/9

your answer is 4/6,6/9

explanation

(2/3)×2=4/6

therefore 4/6 is a multiple of 2/3

(2/3)×3=6/9

therefore 6/9 is a multiple

if we comprise 4/6 & 6/9 we get 2/3

(b) 6/9 and (c) 4/6 are equivalent to 2/3

The fraction is given as:

[tex]\mathbf{Fraction = \frac 23}[/tex]

The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.

The proof is as follows

[tex]\mathbf{Fraction = \frac 69}[/tex]

Divide the numerator and the denominator by 3

[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]

[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]

Also, we have:

[tex]\mathbf{Fraction = \frac 46}[/tex]

Divide the numerator and the denominator by 2

[tex]\mathbf{Fraction = \frac 23}[/tex]

Hence, 6/9 and 4/6 are equivalent to 2/3

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