45/30 in simplest form
Understand the Problem
The question is asking to simplify the fraction 45/30 to its lowest terms. To do this, we will find the greatest common divisor (GCD) of 45 and 30 and divide both the numerator and the denominator by that GCD.
Answer
The simplified fraction of \( \frac{45}{30} \) is \( \frac{3}{2} \).
Answer for screen readers
The simplified fraction of ( \frac{45}{30} ) is ( \frac{3}{2} ).
Steps to Solve
- Find the GCD of 45 and 30
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numbers 45 and 30.
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The common factors are: 1, 3, 5, 15
Thus, the GCD is 15.
- Divide both the numerator and the denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing the numerator (45) and the denominator (30) by 15.
For the numerator: $$ \frac{45}{15} = 3 $$
For the denominator: $$ \frac{30}{15} = 2 $$
- Write the simplified fraction
Now that we have both parts simplified, we can now write the simplified fraction.
The simplified fraction is: $$ \frac{3}{2} $$
The simplified fraction of ( \frac{45}{30} ) is ( \frac{3}{2} ).
More Information
Simplifying fractions is an important skill in math that helps to make calculations easier and clearer. Knowing how to find the GCD is a helpful tool not just for fractions, but also for reducing ratios and during factorization.
Tips
- Failing to identify the correct GCD: Always list out the factors methodically to ensure you find the correct common divisor.
- Not dividing both terms by the GCD: Remember to simplify both the numerator and the denominator.
