Simplifying Fractions
9/12
3/4
3 is the common factor that goes into 9 and 12. Divide 9 by 3 to get 3 as the numerator. Divide 12 by 3 to get 4 as the denominator.
2:4
1:2
2 is the common factor in 2 and 4. Divide 2 by 2 to get 1. Divide 2 by 4 to get 2.
2 x 9
18
14 / 7
2
Dave sold half of his comic books and then bought 9 more. He now has 11 comic books. How many did he begin with?
4
11 - 9 = 22 x 2 = 4
4 was the number of comic books he began with.
10/20
1/2
10 is the common factor in 10 and 20. Divide 10 by 10 to get 1 as the numerator. Divide 10 by 20 to get 2 as the denominator.
5:15
1:3
5 is the common factor in 5 and 15. Divide 5 by 5 to get 1. Divide 5 by 15 to get 3.
4 x 9
36
15 / 3
5
Four people go out to lunch. The total amount of money they have is 48.80 dollars. They have to split the money evenly. How much money does each person get?
12.20 dollars
40 divided by 4 is 10.
8 divided by 4 is 2.
80 divided by 4 is 20.
Add the total up in dollar and cent form to get the answer 12.20 dollars.
6/10
3/5
2 is the common factor in 6 and 10. Divide 6 by 2 to get 3 as the numerator. Divide 10 by 2 to get 5 as the denominator.
2:16
1:8
2 is the common factor in 2 and 16. Divide 2 by 2 to get 1. Divide 2 by 16 to get 8.
6 x 9
54
6 / 6
1
On a map, 1 inch equals 25 feet. How many feet does 7 inches represent?
175
25 x 7
10/10
1
10 is the common factor that goes into 10 and 10. Divide 10 by 10 to get 1 for both the numerator and denominator. 1/1 is equal to the whole number 1.
5:25
1:5
5 is the common factor in 5 and 25. Divide 5 by 5 to get 1. Divide 5 by 25 to get 5.
8 x 9
81
50 / 10
5
10 goes into 50 five times. Or take away the 0 in 50 and 10 to get 5 / 1 which equals 5.
Jack jumps 40 times per 4 minutes. How many times doe he jump in 1 minute?
10 times
40 / 4 = 10
15/10
1 1/2
15 can go into 10 one time. The remaining numerator is 5/10. 5 is the common factor in 5 and 10. Divide 5 by 5 to get 1 as the numerator. Divide 5 by 10 to get 2 as the denominator.
12:36
1:3
12 is the common factor in 12 and 36. Divide 12 by 12 to get 1. Divide 36 by 12 to get 3.
9 x 12
108
9 times 11 is 99. Add 9 to get 108.
800 / 200
4
A fenced in yard has a length of 20 feet and a width of 6 feet. What is the area of the fenced in yard?
120 square feet
20 x 6
or 20 x 5 = 100 + 20 = 120