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First we have to determine how much books she is reading. She is reading 1 book so we have to subtract 1-2/5-1/6. Next we find the common denominator which is 30. The equation changes to 30/30-12/30-5/30=18/30-5/30=13/30. Our answer is 13/30.

The fraction of book that is left = 13/30

  • The fraction of the book she has read = 17/30
  • The total fraction of the book = 30/30

Further Explanation

This math problem is a typical number problem, and relatively, it deals with fraction. To derive the solution to the problem, the rule of BODMAS would be adhere to.  

To derive the total fraction of the book that is left, 2/5 of the book would be added to 1/6 of the book that was read.

= 2/5 + 1/6

Since the denominators of both fractions are not the same value, we would find the a number that is a factor of both number i.e. the lowest common denominator (LCD) can be divided by both denominators.

The lowest common denominator of 5 and 6 which are the denominators of both fractions is 30. The LCD would be used to divide the denominators, and then used to multiply the numerators of both fractions. The values derived will be added to get another fraction which will be used to determine the total fraction of the book.

Therefore,

= 2/5 + 1/6  

= (12+5)/30

= 17/30

Thus, the fraction of the book she has read = 17/30

Automatically, total fraction of the book = 30/30

To derive the fraction of the book that is left, we subtract the fraction of the book she has read from the total fraction of the book.

Hence, total fraction left  

= 30/30 – 17/30

= (30 – 17)/30

= 13/30

LEARN MORE:

  • Numbers: brainly.com/question/2906770
  • fraction brainly.com/question/6201432
  • Lowest common denominator  brainly.com/question/10962736

KEYWORDS:

  • numbers
  • fraction
  • lowest common denominator
  • bodmas
  • numerator
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