Given a:b = 5 : 4 and b:c = 6 : 5:
Calculate a:c
12 ÷ 4 = 3
3 x 5 : 3 x 4 = 15 : 12
This is our new a : b ratio
12 ÷ 6 = 2
2 x 6 : 2 x 5 = 12 : 10
This is our new b : c ratio
The b portions of each ratio match, and we have a : c = 15 : 10
Using our GCF Calculator, we can simplify both parts of our ratio by 5
We can express our ratio as a fraction
| 15/5 | |
| 10/5 |
| 3 | |
| 2 |
The b portions of the ratios match
a : c = 3 : 2