Step-by-step explanation:
We'll simplify each ratio by finding the greatest common factor.
Find the GCF (Greatest Common Factor) of 15 and 25.
Factors:
15: 1, 3, 5, 15.
25: 1, 5, 25.
The GCF is 5.
15 and 25 can be simplified by dividing by 5.
[tex]15 \div 5 = 3[/tex]
[tex]25 \div 5 = 5[/tex]
Your simplified ratio is 3:5.
Find the GCF of 34 and 42.
Factors:
34: 1, 2, 17, 34
42: 1, 2, 3, 6, 7, 14, 21, 42.
The GCF is 2.
34 and 42 can be simplified by dividing by 2.
[tex]34 \div 2 = 17[/tex]
[tex]42 \div 2 = 21[/tex]
Your simplified ratio is 17:21
