write 2/4 in lowest terms
Understand the Problem
The question is asking how to simplify the fraction 2/4 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
The simplified fraction of $\frac{2}{4}$ is $\frac{1}{2}$.
Answer for screen readers
The simplified fraction of $\frac{2}{4}$ is $\frac{1}{2}$.
Steps to Solve
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Identify the GCD First, we need to find the greatest common divisor (GCD) of the numerator (2) and the denominator (4). The GCD is the largest number that divides both 2 and 4 without leaving a remainder.
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Calculate the GCD The GCD of 2 and 4 is 2 because both numbers can be divided by 2.
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Divide both parts by the GCD Now, we divide both the numerator and the denominator by the GCD we found: $$ \text{Numerator: } \frac{2}{2} = 1 $$ $$ \text{Denominator: } \frac{4}{2} = 2 $$
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Write the simplified fraction After dividing, we write the simplified fraction as: $$ \frac{1}{2} $$
The simplified fraction of $\frac{2}{4}$ is $\frac{1}{2}$.
More Information
Simplifying fractions helps to find the simplest form, which can be easier for calculations and comparisons. The process of finding the GCD ensures that both the numerator and the denominator are reduced as much as possible.
Tips
- A common mistake is to not find the GCD correctly; always make sure to use the largest number that divides both.
- Another mistake is forgetting to divide both the numerator and the denominator by the GCD.
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