0.0625 in fraction
Understand the Problem
The question is asking how to convert the decimal number 0.0625 into its equivalent fraction form. This involves identifying a fraction that represents the same value as the decimal.
Answer
The equivalent fraction for the decimal number 0.0625 is $\frac{1}{16}$.
Answer for screen readers
The equivalent fraction for the decimal number 0.0625 is $\frac{1}{16}$.
Steps to Solve
- Write the decimal as a fraction
First, write the decimal as a fraction. Since 0.0625 has four decimal places, we can express it as:
$$ \frac{625}{10000} $$
- Simplify the fraction
Next, we need to simplify this fraction. We look for the greatest common divisor (GCD) of the numerator (625) and the denominator (10000).
The GCD of 625 and 10000 is 625. Thus, we divide both the numerator and the denominator by 625:
$$ \frac{625 \div 625}{10000 \div 625} = \frac{1}{16} $$
- Final fraction
The simplified fraction that represents the decimal 0.0625 is now:
$$ \frac{1}{16} $$
The equivalent fraction for the decimal number 0.0625 is $\frac{1}{16}$.
More Information
Converting decimals to fractions involves finding a suitable fraction representation of the decimal value. Since 0.0625 is a terminating decimal, it can be converted neatly using its decimal place value, and simplifying helps find the simplest form.
Tips
- Forgetting to simplify the fraction after converting the decimal.
- Not recognizing when to multiply the numerator and denominator by the same factor.
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