How to Convert 0.16 as a Fraction: A Comprehensive Guide
Understanding how to express 0.16 as a fraction is a valuable math skill. In this article, we’ll cover the step-by-step process to convert the decimal 0.16 into a fraction, simplify it, and explore its practical uses.
Converting 0.16 to a Fraction
- Write the Decimal as a Fraction: Start by placing 0.16 over 1:
- Eliminate the Decimal: Multiply both the numerator and denominator by 100 to remove the decimal point:
- Simplify the Fraction: Find the greatest common divisor (GCD) of 16 and 100, which is 4. Divide both the numerator and denominator by 4:
Thus, 0.16 as a fraction in its simplest form is:
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Why Convert Decimals to Fractions?
Converting decimals to fractions provides exact values, which is crucial in math, science, and everyday calculations. Fractions ensure precision, especially in fields like engineering, finance, and computer science.
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Verification Step
To confirm accuracy, divide the fraction:
The calculation is correct, verifying that equals 0.16.
FAQ
- What is 0.16 as a fraction?
- 0.16 as a fraction is .
- Is 0.16 a terminating decimal?
- Yes, 0.16 is a terminating decimal because it has a finite number of decimal places.
- Why do we multiply by 100 when converting 0.16 to a fraction?
- Multiplying by 100 removes the decimal by shifting it two places to the right.
- Can decimals always be converted to fractions?
- Yes, terminating and repeating decimals can be converted to fractions.
- How do you simplify fractions?
- Divide both the numerator and denominator by their GCD to reduce the fraction to its simplest form.
