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Rema spent 6 days reading her book, completing the same fraction of the book each day, if she read a total of 8/9 of her book after 6 days, what fraction of the book did she read each day?

Respuesta :

LazyHero
Since it took 6 days to read 8/9 of the book, then just divide 8/9 by 6.
Taking an extra step, multiply the numerator and denominator by 6 which gets you 48/54. 
Now you can divide 48 by 6 which is 8.
Your answer would be 8/54 so just simplify that and you will get 4/27.

*You can easily check your answer by multiplying it by 6.*
(4/27) × 6 = 24/27 ⇒ 8/9
Parrain

In order to have read 8/9 of the book after 6 days, Rema must have been read 4/27 of the book each day.

Rema spent 6 days reading the book and read 8/9 of the book. The amount she read each day was:

= Fraction of book read / Number of days

= 8/9 ÷ 6

= 8/9 x 1/6

= 8/54

Fractions should be in their simplest forms and to do so, divide both the denominator and the numerator by the lowest common factor of 8 and 54 which is 2:

= (8/2) / (54/2)

= 4 / 27

In conclusion, Rema read 4/27 of the book every day.

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