Question

Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.

Comparing 2/4 and 5/8 is the same as comparing the length of ____ of the 1/4 sections and _____ of the 1/8 sections.

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8.

Answer 1

`(2)/(4) = 2 *(1)/(4) \\`

So the length of 2 of the 1/4 sections.

`(5)/(8) = 5* (1)/(8)`

So the length of 5 of the 1/8 sections.

Now,

`(2)/(4) = x *(5)/(8)\\\\x = (2)/(4) * (8)/(5) = (16)/(20) = (4)/(5)`

Therefore 2/4 is 4/5 the length of 5/8.