5/30 as a fraction
Understand the Problem
The question is asking to simplify the fraction 5/30. To solve this, we need to find the greatest common divisor of the numerator and the denominator and divide both by that number.
Answer
The simplified fraction is $\frac{1}{6}$.
Answer for screen readers
The simplified fraction of $\frac{5}{30}$ is $\frac{1}{6}$.
Steps to Solve
- Identify the numerator and denominator
The fraction we are working with is $\frac{5}{30}$. Here, the numerator is $5$ and the denominator is $30$.
- Find the greatest common divisor (GCD)
We need to look for the largest number that divides both $5$ and $30$ without leaving a remainder.
The divisors of $5$ are: $1, 5$
The divisors of $30$ are: $1, 2, 3, 5, 6, 10, 15, 30$
The greatest common divisor (GCD) is $5$.
- Divide both numerator and denominator by the GCD
To simplify the fraction, divide both the numerator and denominator by the GCD:
$$ \frac{5 \div 5}{30 \div 5} = \frac{1}{6} $$
Thus, the simplified fraction is $\frac{1}{6}$.
The simplified fraction of $\frac{5}{30}$ is $\frac{1}{6}$.
More Information
When simplifying fractions, finding the GCD is a key step, as it ensures that both the numerator and denominator are reduced to their simplest form. This fraction, $\frac{1}{6}$, can also be interpreted as a portion or ratio, representing one part of six equal parts.
Tips
- Not checking if the numerator and denominator have common factors. Always identify if any factors can simplify the fraction.
- Dividing only one part of the fraction instead of both. Remember to simplify both the numerator and denominator by the same number.
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