Answer:
9 proper fractions:
3/5,3/8,5/8,3/40,5/24,8/15,3/13,5/11,2/8
9 improper fractions:
8/3,8/5,5/3,24/5,40/3,15/8,11/5,13/3,8/2
Step-by-step explanation:
Proper fraction:
Proper fraction are the fractions in which the numerator is less than the denominator and the value of proper fractions is less than 1.
x/y is proper fraction if x<y and x/y<1
Improper fraction:
Improper fraction are the fractions in which the numerator is greater than the denominator and the value of proper fractions is more than 1.
x/y is improper fraction if x>y and x/y>1
Given numbers: 3,5,8
Making 9 proper and improper fractions with above given numbers with condition to use each number only once within a fraction.
nine proper fractions: (x/y is proper fraction if x<y and x/y<1)
3/5
3/8
5/8
3/(5)(8)= 3/40
5/(3)(8) = 5/24
8/(3)(5) = 8/15
3/(5+8) = 3/13
5/(3+8) = 5/11
(5-3)/8 = 2/8
nine improper fractions: (x/y is improper fraction if x>y and x/y>1)
8/3
8/5
5/3
(8)(3)/5 = 24/5
(8)(5)/3 = 40/3
(5)(3)/8 = 15/8
(3+8)/5 = 11/5
(5+8)/3 = 13/3
8/(5-3) = 8/2 !
