So far, Monica has read 5/6 of a book. she has read the same number of pages each day for 5 days. What fraction of the book does Monica read each day?​

Respuesta :

Monica read [tex]\frac{1}{6}[/tex] of the book each day.

Step-by-step explanation:

Given,

Fraction of book read by Monica = [tex]\frac{5}{6}[/tex]

Number of days = 5

As Monica has read same number of pages each day.

Let,

x represent the fraction of book read by Monica each day;

Number of days * Fraction read each day = Fraction of book read

[tex]5*x=\frac{5}{6}\\5x=\frac{5}{6}[/tex]

Multiplying both sides by [tex]\frac{1}{5}[/tex]

[tex]\frac{1}{5}*5x=\frac{5}{6}*\frac{1}{5}\\x=\frac{1}{6}[/tex]

Monica read [tex]\frac{1}{6}[/tex] of the book each day.

Keywords: fraction, division

Learn more about fractions at:

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