Need help using a number line

Question

Mr. Martin ate 4/8 of his pie and Mary ate 3/4 of hers. Who ate more pie? Solve using a number line

Answer 1

Caryn, you can also start with 0 and 1 on your number line. Now put 3 lines evenly spaced in between to make 4 even spaces. The next line after 0 will be 1/4, then 2/4, 3/4, and 1. Put a dot on 3/4.

 

Now, if you divide each of those in half, you'll see that you have 8 spaces! 1/8, 2/8, etc. Notice that 2/8 and 1/4 are the same line, as are 4/8 and 1/2, and 6/8 and 3/4. When you put your dot on 4/8, you'll see that 3/4 is bigger, so Mary ate more pie.

Answer 2

The question needs simplified before comparing on a number line. 4/8 simplifies to 1/2. Then using  the number line, you can see 3/4 is more than 1/2 so Mary ate more.