What is 0.25 as a fraction in simplest form?
Understand the Problem
The question is asking how to convert the decimal 0.25 into a fraction and then simplify that fraction to its simplest form.
Answer
$\frac{1}{4}$
Answer for screen readers
The decimal $0.25$ simplifies to the fraction $\frac{1}{4}$.
Steps to Solve
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Convert the decimal to a fraction
To convert the decimal $0.25$ to a fraction, we can express it as $\frac{25}{100}$, since moving the decimal point two places to the right gives us 25 and we need to divide it by 1 followed by two zeros (100). -
Simplify the fraction
Now we need to simplify the fraction $\frac{25}{100}$. To do this, we find the greatest common divisor (GCD) of the numerator (25) and the denominator (100). The GCD of 25 and 100 is 25. -
Divide numerator and denominator by the GCD
We divide both the numerator and denominator by their GCD: $$ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $$ -
State the final simplified fraction
Thus, the decimal $0.25$ in its simplest fraction form is $\frac{1}{4}$.
The decimal $0.25$ simplifies to the fraction $\frac{1}{4}$.
More Information
Converting decimals to fractions is a handy skill, especially in mathematics where fractions are often easier to work with. Additionally, $0.25$ is equivalent to $25%$, which can also be expressed as $\frac{1}{4}$ when simplified.
Tips
- Forgetting to simplify the fraction after converting from decimal. Always check to see if the fraction can be reduced to its simplest form.
- Not recognizing the right power of 10 when converting decimals to fractions. Make sure to count the decimal places correctly.
