Posted by john on .
how to you compare 8 fractions with different denominators including improper fractions?

math 
Ms. Sue,
Either change them to equivalent decimals or to fractions with the same denominators.

math 
bobpursley,
1. make them the same denominator, or
2. find the decimal equivalents for each. 
math 
john,
how do you change them into equivalent decimals and same denominators?

math 
Ms. Sue,
For decimals, divide the numerator by the denominator.
Example: 3/4 = 0.75
For fractions, find a common multiple of the denominators.
Examples: 2, 3, 4, >> the common multiple is 12. 
math 
john,
so it's like you do this >
2,4,6,8,10,12
3,6,9,12,15,18,21
4,8,12,16,20
and one more question, what about the numerators?
like if you're comparing 3/8 to 2/5 the common multiple is 40. the numerators? 
math 
Ms. Sue,
Divide the new denominator by the old denominator.
40/5 = 8
Multiply the old denominator by the quotient.
2 * 8 = 16
2/5 = 16/40  math  Ms. Sue,

math 
john,
so it would be like, 5/8 ? 6/7
8,16,24,32,40,48,56,64
7,14,21,28,35,42,49,56
LCD IS 56
so now i do 56/7=8*6=48 6/7=48/56
56/8=7*5=35 so, 5/8=35/56
5/8 (35/56) < 6/7 (48/56)