0.052 as a fraction
Understand the Problem
The question is asking to convert the decimal number 0.052 into a fraction. This involves determining the equivalent fraction representation with the appropriate numerator and denominator.
Answer
The fraction representation of 0.052 is $\frac{13}{250}$.
Answer for screen readers
The equivalent fraction of the decimal 0.052 is $\frac{13}{250}$.
Steps to Solve
- Identify the Decimal Place Value
The decimal number 0.052 has three decimal places. This means we can write it as:
$$ 0.052 = \frac{52}{1000} $$
- Simplify the Fraction
Next, we need to simplify the fraction. We can do this by finding the greatest common divisor (GCD) of 52 and 1000. The factors of 52 are 1, 2, 4, 13, 26, and 52. The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000. The GCD is 4.
Now, we divide both the numerator and the denominator by the GCD:
$$ \frac{52 \div 4}{1000 \div 4} = \frac{13}{250} $$
- Final Fraction Representation
The simplified fraction that represents the decimal number 0.052 is:
$$ \frac{13}{250} $$
The equivalent fraction of the decimal 0.052 is $\frac{13}{250}$.
More Information
Converting decimals to fractions is a common task in mathematics, especially in understanding rational numbers. This process helps in various applications, including fractions in measurements and ratios.
Tips
- Failing to identify the correct place value when converting decimals into fractions. Always check how many decimal places there are.
- Not simplifying the fraction correctly, or skipping the simplification step entirely. Always ensure to reduce to the lowest terms.
