60/36 simplified
Understand the Problem
The question is asking to simplify the fraction 60/36. This involves finding the greatest common divisor of the numerator and the denominator and dividing both by this number to give the simplest form of the fraction.
Answer
The simplified fraction of \( \frac{60}{36} \) is \( \frac{5}{3} \).
Answer for screen readers
The simplified fraction of ( \frac{60}{36} ) is ( \frac{5}{3} ).
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction ( \frac{60}{36} ), first find the GCD of 60 and 36.
The GCD is the largest number that divides both 60 and 36.
- List the factors of both numbers
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
- Identify the GCD
The common factors are:
- 1, 2, 3, 4, 6, 12
The largest of these is 12, therefore, the GCD of 60 and 36 is 12.
- Divide both the numerator and denominator by the GCD
Now divide both the numerator (60) and the denominator (36) by their GCD (12):
$$ \frac{60 \div 12}{36 \div 12} = \frac{5}{3} $$
- Write the simplified fraction
The simplified form of the fraction ( \frac{60}{36} ) is ( \frac{5}{3} ).
The simplified fraction of ( \frac{60}{36} ) is ( \frac{5}{3} ).
More Information
Simplifying fractions is an important skill in mathematics, as it helps to express quantities in their simplest form. In this case, ( \frac{60}{36} ) simplifies to ( \frac{5}{3} ) by identifying and dividing by the GCD.
Tips
- Not finding the GCD correctly can lead to incorrect simplification. Always ensure to list the factors accurately.
- Dividing only one element of the fraction instead of both can produce an incorrect final answer.
