58/100 simplified
Understand the Problem
The question is asking how to simplify the fraction 58/100. To solve this, we will find the greatest common divisor (GCD) of 58 and 100 and divide both the numerator and denominator by this number.
Answer
The simplified fraction is \( \frac{29}{50} \).
Answer for screen readers
The simplified form of the fraction ( \frac{58}{100} ) is ( \frac{29}{50} ).
Steps to Solve
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Find the Greatest Common Divisor (GCD)
To simplify the fraction, we first need to find the GCD of the numerator (58) and the denominator (100). The GCD is the largest number that divides both numbers without leaving a remainder.The factors of 58 are: 1, 2, 29, 58
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100The common factors are: 1, 2
Therefore, the GCD of 58 and 100 is 2. -
Divide both the numerator and the denominator by the GCD
Now, we will divide both the numerator and the denominator by the GCD we found, which is 2.$$ \frac{58 \div 2}{100 \div 2} = \frac{29}{50} $$
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Write the simplified fraction
After dividing, we find that the simplified fraction of ( \frac{58}{100} ) is ( \frac{29}{50} ).
The simplified form of the fraction ( \frac{58}{100} ) is ( \frac{29}{50} ).
More Information
The fraction ( \frac{29}{50} ) is in its simplest form and cannot be reduced any further. Fractions can often be simplified by finding their GCD, which can be done through a variety of methods, including prime factorization or the Euclidean algorithm.
Tips
- Not finding the GCD correctly: Make sure to check all factors of both numbers carefully, as it's easy to overlook them.
- Dividing incorrectly: Double-check your division of both the numerator and the denominator to ensure they are both divided by the GCD.
