45/10 simplified
Understand the Problem
The question is asking to simplify the fraction 45/10, which involves finding the greatest common divisor (GCD) to reduce the fraction to its simplest form.
Answer
The simplified fraction is \( \frac{9}{2} \).
Answer for screen readers
The simplified fraction is ( \frac{9}{2} ).
Steps to Solve
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Identify the GCD First, we need to find the greatest common divisor (GCD) of the numbers 45 and 10. The GCD is the largest number that evenly divides both numbers.
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List the factors The factors of 45 are: 1, 3, 5, 9, 15, 45.
The factors of 10 are: 1, 2, 5, 10. -
Determine the GCD The common factors between 45 and 10 are 1 and 5. Therefore, the GCD is 5.
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Divide by GCD Now, divide both the numerator and the denominator of the fraction by the GCD to simplify it: $$ \frac{45 \div 5}{10 \div 5} $$
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Simplify the fraction Calculating the simplified values gives us: $$ \frac{9}{2} $$
The simplified fraction is ( \frac{9}{2} ).
More Information
When simplifying fractions, finding the GCD is a key step. In this case, dividing both the numerator and the denominator by 5 reduced the fraction from 45/10 to 9/2, which can also be expressed as 4.5 in decimal form.
Tips
- Forgetting to find the GCD and attempting to reduce the fraction without it.
- Not dividing both the numerator and denominator by the same number.
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