60:36 simplified
Understand the Problem
The question is asking how to simplify the fraction 60:36. This means finding the greatest common divisor of both numbers to reduce the fraction to its simplest form.
Answer
The simplified fraction of 60:36 is $\frac{5}{3}$.
Answer for screen readers
The simplified fraction of 60:36 is $\frac{5}{3}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
First, we need to find the GCD of 60 and 36. The GCD is the largest number that divides both numbers evenly.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The common factors are: 1, 2, 3, 4, 6, 12.
From these, the greatest common factor is 12.
- Divide both numbers by the GCD
Now, we will simplify the fraction 60:36 by dividing both numbers by their GCD, which is 12.
$$ \frac{60}{12} = 5 $$ $$ \frac{36}{12} = 3 $$
- Write the simplified fraction
After dividing both numbers, we can express the simplified fraction as:
$$ \frac{60}{36} = \frac{5}{3} $$
The simplified fraction of 60:36 is $\frac{5}{3}$.
More Information
Upon simplifying the fraction, we find that both numbers can be expressed in a more reduced form. This fraction implies that for every 5 parts of the numerator, there are 3 parts of the denominator.
Tips
- Not finding the GCD correctly: Make sure to list all factors accurately.
- Forgetting to divide both the numerator and denominator by the GCD: Always apply the same operation to both sides when simplifying fractions.
