Question

simplifying ratios
write the given ratios in the simplest form
3:15
15:30
6:36
15:20
= 1:5
= 1:2
= 1:6
= 3:4
12:36
10:110
9:27
5:125
= 1:3
= 1:11
= 1:3
= 1:25
25:50
18:72
8:30
10:48
=
=
=
=
12:72
24:72
22:44
8:36
=
=
=
=
5:180
22:220
35:40
6:45
=
=
=
=
27:36
5:35
21:30
16:12
=
=
=
=

Explanation:

Step1: Find greatest - common divisor

For each ratio, find the greatest - common divisor (GCD) of the two numbers in the ratio and divide both numbers by it.

Step2: Simplify 25:50

The GCD of 25 and 50 is 25. Dividing both by 25 gives 1:2.

Step3: Simplify 18:72

The GCD of 18 and 72 is 18. Dividing both by 18 gives 1:4.

Step4: Simplify 8:30

The GCD of 8 and 30 is 2. Dividing both by 2 gives 4:15.

Step5: Simplify 10:48

The GCD of 10 and 48 is 2. Dividing both by 2 gives 5:24.

Step6: Simplify 12:72

The GCD of 12 and 72 is 12. Dividing both by 12 gives 1:6.

Step7: Simplify 24:72

The GCD of 24 and 72 is 24. Dividing both by 24 gives 1:3.

Step8: Simplify 22:44

The GCD of 22 and 44 is 22. Dividing both by 22 gives 1:2.

Step9: Simplify 8:36

The GCD of 8 and 36 is 4. Dividing both by 4 gives 2:9.

Step10: Simplify 5:180

The GCD of 5 and 180 is 5. Dividing both by 5 gives 1:36.

Step11: Simplify 22:220

The GCD of 22 and 220 is 22. Dividing both by 22 gives 1:10.

Step12: Simplify 35:40

The GCD of 35 and 40 is 5. Dividing both by 5 gives 7:8.

Step13: Simplify 6:45

The GCD of 6 and 45 is 3. Dividing both by 3 gives 2:15.

Step14: Simplify 27:36

The GCD of 27 and 36 is 9. Dividing both by 9 gives 3:4.

Step15: Simplify 5:35

The GCD of 5 and 35 is 5. Dividing both by 5 gives 1:7.

Step16: Simplify 21:30

The GCD of 21 and 30 is 3. Dividing both by 3 gives 7:10.

Step17: Simplify 16:12

The GCD of 16 and 12 is 4. Dividing both by 4 gives 4:3.

Answer:

25:50 = 1:2
18:72 = 1:4
8:30 = 4:15
10:48 = 5:24
12:72 = 1:6
24:72 = 1:3
22:44 = 1:2
8:36 = 2:9
5:180 = 1:36
22:220 = 1:10
35:40 = 7:8
6:45 = 2:15
27:36 = 3:4
5:35 = 1:7
21:30 = 7:10
16:12 = 4:3