40/110 simplified
Understand the Problem
The question is asking to simplify the fraction 40/110 to its simplest form. To do this, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
$ \frac{4}{11} $
Answer for screen readers
The simplified form of the fraction is $ \frac{4}{11} $.
Steps to Solve
- Find the GCD (Greatest Common Divisor)
To simplify the fraction, we first need to find the GCD of the numbers 40 and 110. The GCD is the largest number that divides both of them without leaving a remainder.
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 110 are: 1, 2, 5, 10, 11, 22, 55, 110
The common factors are: 1, 2, 5, 10
So, the GCD is 10.
- Divide the numerator and the denominator by the GCD
Next, we divide both the numerator and the denominator of the fraction by the GCD found in step 1.
$$ \frac{40 \div 10}{110 \div 10} = \frac{4}{11} $$
- Write the simplified fraction
After dividing, we write down the simplified fraction.
The simplified form of $ \frac{40}{110} $ is $ \frac{4}{11} $.
The simplified form of the fraction is $ \frac{4}{11} $.
More Information
Simplifying fractions helps in easily comparing or performing calculations with them. The GCD method is a key technique when working with fractions, ensuring accuracy in simplification.
Tips
- Not finding the correct GCD: Be careful to list all factors correctly to find the greatest common divisor.
- Forgetting to simplify both numerator and denominator: Remember to divide both parts of the fraction by the GCD to ensure full simplification.
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