Question

On Monday, Cathy read start fraction 1 over 6 end fraction of her book, and on Tuesday, she read start fraction 2 over 6 end fraction of the book. How much has she read?

A. start fraction 1 over 6 end fraction
B. one-fifth
C. start fraction 1 over 3 end fraction
D. one-half

Answer 1

[AI-generated answer — Explain Bot]

To find out how much Cathy has read, we need to add up the fractions of the book that she read on Monday and Tuesday.

On Monday, she read start fraction 1 over 6 end fraction of the book.
On Tuesday, she read start fraction 2 over 6 end fraction of the book.

To add these fractions, we need to have a common denominator. The least common denominator for 6 and 6 is 6.

So, let's convert both fractions to have a denominator of 6:

On Monday, start fraction 1 over 6 end fraction is equivalent to start fraction 1 over 6 end fraction multiplied by start fraction 6 over 6 end fraction, which gives us start fraction 6 over 36 end fraction.

On Tuesday, start fraction 2 over 6 end fraction is equivalent to start fraction 2 over 6 end fraction multiplied by start fraction 6 over 6 end fraction, which gives us start fraction 12 over 36 end fraction.

Now, we can add the fractions:

start fraction 6 over 36 end fraction + start fraction 12 over 36 end fraction = start fraction 18 over 36 end fraction.

This fraction can be simplified to start fraction 1 over 2 end fraction.

So, Cathy has read one-half of the book.

The answer is (D) one-half.