Example: 25/45, 15/27 Form a proportion.
First, find the GCF (Greatest Common Factor) of 25 and 45.
25: 1,2,4, (5) ,10,20,25,50,100
45: 1,3, (5) ,9,15,45.
The GCF for 25 and 45 is 5.
Divide 5 by the numerator and denominator:
25÷5= 5
45÷5= 9.
So, 25/45=5/9.
Now for 15/27. Find the GCF for the numerator and denominator:
15: 1, (3) ,5,15
27: 1, (3) ,9,27
The GCF for 15 and 27 is 3.
Divided the numerator and denominator by 3
15÷3=5
27÷3=9.
15/27=5/9.
(Should have given another example like cross products which would further add to the answer being 5/9?)
To check if 25/45 and 15/27 form a proportion, you can use the Cross Products property. The Cross Products property states that if two fractions, a/c and b/d, form a proportion, then the product of the numerator of the first fraction and the denominator of the second fraction should be equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Let's apply this property to the given fractions:
For 25/45:
Numerator of the first fraction: 25
Denominator of the second fraction: 27
For 15/27:
Numerator of the second fraction: 15
Denominator of the first fraction: 45
Now, multiply these values:
25 * 27 = 675
15 * 45 = 675
Since the products are equal (675 = 675), we can conclude that 25/45 and 15/27 form a proportion.