Reviewed by Rachelle Bencio Yu
What is 0.05 as a Fraction?
Answer: 0.05 as a fraction is 1/20
Converting a decimal like 0.05 to a fraction helps us express numbers in a different, often more understandable, mathematical form. Fractions are especially useful when dealing with parts of a whole, and knowing how to translate between decimals and fractions is essential for math fluency.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the place value of the decimal to rewrite it as a fraction and then simplify it to lowest terms.
Step 1: Step 1: Recognize that 0.05 has two digits after the decimal point, which means it represents 5 hundredths or 5/100
Step 2: Step 2: Simplify 5/100 by dividing both numerator and denominator by their greatest common factor, which is 5
Math Tutor Explanation Using the Division Method
Alternatively, you may use the decimal to fraction conversion process by considering the decimal as a result of division.
Step 1: Step 1: Write 0.05 as 5 divided by 100, or 5/100
Step 2: Step 2: Reduce the result by dividing both the numerator and denominator by 5 to get 1/20
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Conversions
Expand your skills in converting decimals to fractions with these similar practice problems.
FAQ on Decimal to Fraction Conversion
How do I know when a decimal can be written as a simple fraction?
Any terminating decimal (one that does not repeat forever) can be written as a fraction with a denominator based on powers of 10.
Does 0.05 have an equivalent fraction in simplest form?
Yes, 0.05 simplifies to 1/20 when written as a fraction.
How do you write repeating decimals as fractions?
Repeating decimals are converted using algebraic methods to find their fractional form.
What does it mean to reduce a fraction?
Reducing a fraction means dividing both numerator and denominator by their greatest common factor so the fraction is in lowest terms.
Why is understanding decimals and fractions important?
Understanding both forms helps in many aspects of math, science, and daily life, making calculations easier and more flexible.
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