What is 45/100 in simplest form?
Understand the Problem
The question is asking to simplify the fraction 45/100 to its simplest form by finding the greatest common divisor of the numerator and denominator.
Answer
The simplified form of \( \frac{45}{100} \) is \( \frac{9}{20} \).
Answer for screen readers
The simplified form of the fraction ( \frac{45}{100} ) is ( \frac{9}{20} ).
Steps to Solve
- Find the greatest common divisor (GCD)
To simplify the fraction, we first need to find the GCD of the numerator (45) and the denominator (100). The GCD is the largest number that divides both 45 and 100.
- The factors of 45 are 1, 3, 5, 9, 15, 45.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
The largest common factor is 5.
- Divide both the numerator and the denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 5.
- For the numerator:
$$ \frac{45}{5} = 9 $$
- For the denominator:
$$ \frac{100}{5} = 20 $$
- Write the simplified fraction
After dividing, we can write the simplified version of the fraction:
$$ \frac{45}{100} = \frac{9}{20} $$
The simplified form of the fraction ( \frac{45}{100} ) is ( \frac{9}{20} ).
More Information
The simplification of fractions is an important skill in mathematics that allows us to express quantities in their simplest terms. Not only does it make calculations easier, but it also helps in comparing fractions more effectively.
Tips
- Forgetting to find the GCD accurately; always list the factors to ensure you find the largest one.
- Failing to divide both the numerator and denominator by the GCD correctly; double-check your calculations.
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