Reviewed by Laila A. Lico
How to Divide 0.02 into Fractions?
Answer: 0.02 as a fraction is 1/50
Dividing a decimal like 0.02 into a fraction involves expressing the decimal number in terms of a numerator and denominator. This process is useful for converting decimals to a more precise, exact form which can be used in various mathematical operations.
Methods
Math Tutor Explanation Using the Basic Fraction Conversion Method
Convert the decimal 0.02 directly into a fraction by considering its place value.
Step 1: Step 1: Write 0.02 as 2 divided by 100, so 0.02 = 2/100
Step 2: Step 2: Simplify the fraction by dividing numerator and denominator by their greatest common divisor (2), so 2/100 = 1/50
Math Tutor Explanation Using Equivalent Fractions Method
Find an equivalent fraction by multiplying to clear decimals, then simplify.
Step 1: Step 1: Multiply both numerator and denominator by 100 to remove the decimal, so 0.02/1 × 100/100 = 2/100
Step 2: Step 2: Reduce 2/100 by dividing both by 2, resulting in 1/50
Step 1:
Step 2:
Math Tutor suggests: Converting Decimals and Division to Fractions
Strengthen your understanding of how to convert decimal numbers and division expressions into fractions with these related practice questions.
FAQ on Decimals and Fractions
Why is it important to convert decimals into fractions?
Fractions can make certain calculations easier and offer a more exact representation of non-repeating decimals.
Can all decimals be written as fractions?
Yes, all terminating and repeating decimals can be expressed as fractions.
What is the quickest way to simplify a fraction?
Find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
Is 0.02 a rational number?
Yes, 0.02 is rational because it can be written as the fraction 1/50.
How do I convert recurring decimals to fractions?
Set the recurring decimal equal to a variable and use algebraic manipulation to isolate and solve for the fraction.
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