What is 0.55 as a fraction?
Understand the Problem
The question is asking how to convert the decimal 0.55 into a fraction. To solve this, we can express 0.55 as 55/100, and then simplify the fraction if possible.
Answer
The fraction for the decimal 0.55 is \( \frac{11}{20} \).
Answer for screen readers
The simplified fraction for the decimal 0.55 is ( \frac{11}{20} ).
Steps to Solve
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Write the Decimal as a Fraction
Start by writing the decimal 0.55 as a fraction. Since there are two decimal places, you can express it as:
$$ \frac{55}{100} $$ -
Simplify the Fraction
Next, find the greatest common divisor (GCD) of the numerator (55) and the denominator (100). The GCD of 55 and 100 is 5.
Now, divide both the numerator and the denominator by their GCD:
$$ \frac{55 \div 5}{100 \div 5} = \frac{11}{20} $$ -
Final Result
The simplified fraction representing the decimal 0.55 is:
$$ \frac{11}{20} $$
The simplified fraction for the decimal 0.55 is ( \frac{11}{20} ).
More Information
The fraction ( \frac{11}{20} ) is in simplest form and cannot be reduced further. Understanding how to convert decimals to fractions can be helpful in many mathematical applications, including computations and comparisons.
Tips
- Not recognizing the GCD: A common mistake is to ignore simplifying the fraction after forming it. Always check if the fraction can be reduced.
- Forgetting to multiply correctly: When creating the fraction from a decimal, make sure to account for all decimal places.
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