What is 0.48 as a fraction?
Understand the Problem
The question is asking how to convert the decimal 0.48 into a fraction. This involves identifying how many hundredths the decimal represents, which can then be simplified if possible.
Answer
The fraction representation of 0.48 is \( \frac{12}{25} \).
Answer for screen readers
The answer is ( \frac{12}{25} ).
Steps to Solve
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Identify the Decimal Place The decimal 0.48 is in the hundredths place, meaning it can be expressed as having 48 hundredths.
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Writing as a Fraction We can write 0.48 as a fraction: $$ \frac{48}{100} $$
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Simplify the Fraction Next, we simplify the fraction by finding the greatest common divisor (GCD) of 48 and 100. The GCD is 4. Now divide both the numerator and the denominator by 4: $$ \frac{48 \div 4}{100 \div 4} = \frac{12}{25} $$
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Final Fraction Thus, the decimal 0.48, when converted and simplified, equals: $$ \frac{12}{25} $$
The answer is ( \frac{12}{25} ).
More Information
Converting decimals to fractions is useful in various mathematical applications, such as measurements, cooking, and finance. The process helps in understanding ratios and relationships between numbers.
Tips
- Forgetting to simplify the fraction after converting to a fraction from a decimal.
- Misidentifying the place value of the decimal, leading to incorrect fractions.
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