Question

Listed are the fractions of the total number of books Allisa put in a bookcase 2/5 history books 1/3 math books 1/10 art books Allisa will fill the remainder of the bookcase with science books Drag and drop the fractions into the boxes that show the fraction of the total number of books that are history, math, or art books in the bookcase and the fraction of the total number of books that will be science

Answer 1

Books in Bookcase = 5/6

Science Books = 1/6

Step-by-step explanation:

Given:

Total number of books Alissa put in a bookcase;

2/5 history books

1/3 math books

1/10 art books

We can go ahead and determine the fraction of the total number of books that are history, math, or art books in the bookcase by adding the given fractions together as seen below;

`(2)/(5)+(1)/(3)+(1)/(10)=(12+10+3)/(30)=(25)/(30)=(5)/(6)`

So the fraction of the total number of books that are history, math, or art books in the bookcase is 5/6

Let x represent the fraction of the total number of books that will be science.

We can go ahead and determine the value of x by subtracting the fraction of the total number of books that are history, math, or art books in the bookcase from 1;

`x=1-(5)/(6)=(6-5)/(6)=(1)/(6)`

So the fraction of the total number of books that will be science is 1/6