Question

Compare the two fractions.
Use >, <, or =.

2/5 and 35/100

Answer 1

First you must compare the denominators
(bottom number) and I usually multiply up if it's a 2,5,10,20,30,40,50,60..... since both numbers are a factor of 100 it's easier. Think about it like change there are 20 nickels in $1.00 and $1.00= 100 pennies. So you have to multiply 5•20 and you get 100 then the rule of fractions what is done to the bottom must be done to the top. Which means that you have to multiply 2•20 and you get 40 finally the easy part the comparing.
40/100 and 35/100
40 is greater so the you use the greater than sign so the answer could be any of the following:
2/5>35/100
40/100>35/100
Or
2/5>7/20

Answer 2

to compare the two you must first make the denominators the same, to do this multiply the first fraction by 20. Now you have fractions of 40/100 and 35/100 which is 40/100 > 35/100 so 2/5 is greater than 35/100