Using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? you may use each number only once within a fraction.

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 !