math
posted by john .
how to you compare 8 fractions with different denominators including improper fractions?

Either change them to equivalent decimals or to fractions with the same denominators.

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

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. 
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? 
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 

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)