0.385 as a fraction
Understand the Problem
The question is asking how to convert the decimal 0.385 into a fraction. This involves identifying the appropriate denominator and simplifying the fraction if possible.
Answer
The fraction representation of 0.385 is $\frac{77}{200}$.
Answer for screen readers
The fraction representation of 0.385 is $\frac{77}{200}$.
Steps to Solve
- Write the decimal as a fraction
Start by writing the decimal 0.385 as a fraction. Since there are three digits after the decimal point, use 1000 as the denominator.
$$ \frac{0.385}{1} = \frac{385}{1000} $$
- Simplify the fraction
Next, simplify the fraction $\frac{385}{1000}$. To do this, find the greatest common divisor (GCD) of 385 and 1000. The GCD is 5.
Now divide both the numerator and denominator by 5:
$$ \frac{385 \div 5}{1000 \div 5} = \frac{77}{200} $$
- Final result
The simplified fraction representation of the decimal 0.385 is:
$$ \frac{77}{200} $$
The fraction representation of 0.385 is $\frac{77}{200}$.
More Information
Converting decimals to fractions helps in understanding relationships between numbers. The decimal 0.385 represents 385 thousandths, which is why we started with 1000 as the denominator.
Tips
- Failing to recognize the correct denominator based on the number of decimal places.
- Not simplifying the fraction properly after conversion.
