Final Answer:
The ratio of 6(1)/(2) to 10(1)/(4) is 3 : 5.
Explanation:
To simplify the ratio of 6(1)/(2) to 10(1)/(4), we need to convert the mixed numbers to improper fractions. We can do this by multiplying the whole number by the denominator and adding the numerator. This gives us:
6(1)/(2) = (6 x 2 + 1) / 2 = 13/2 10(1)/(4) = (10 x 4 + 1) / 4 = 41/4
Now we can write the ratio as:
13/2 : 41/4
To simplify the ratio, we need to find the greatest common factor (GCF) of the two numbers. The GCF of 13 and 41 is 1. We can divide both numbers by 1 to get:
13/2 : 41/4 = 13 : 41/2
To convert the fraction 41/2 to a whole number, we can multiply both the numerator and denominator by 2. This gives us:
13 : 41/2 = 13 : 82/4
Now we can simplify the ratio by dividing both terms by 2. This gives us:
13 : 82/4 = 13/2 : 41/4 = 3 : 5