Reviewed by Franz Jerby Delos Santos
What is 9/16 as a decimal?
Answer: 9/16 as a decimal is 0.5625
Converting a fraction like 9/16 to its decimal form involves dividing the numerator by the denominator. This process provides a way to represent the fraction as a number on the number line, making it easier to use for calculations and to compare with other numerical values.
Methods
Math Tutor Explanation Using the Division Method
One straightforward way to convert a fraction to a decimal is to divide the top number (numerator) by the bottom number (denominator) using long division or a calculator.
Step 1: Step 1: Divide 9 by 16
Step 2: Step 2: 9 divided by 16 equals 0.5625
Math Tutor Explanation Using Equivalent Fractions with Powers of 10
You can also express both the numerator and the denominator as tenths, hundredths, or thousandths to convert the fraction into a decimal.
Step 1: Step 1: Multiply the fraction 9/16 so the denominator becomes 100 (a common base-10 number)
Step 2: Step 2: 9/16 x 6.25/6.25 = 56.25/100, which is 0.5625
Step 1:
Step 2:
Math Tutor suggests: Explore More Fraction to Decimal Conversions
Boost your understanding of turning fractions into decimals with more hands-on practice using these related exercises.
FAQ on Fraction to Decimal Conversion
Why do we convert fractions to decimals?
Converting fractions to decimals makes calculations, comparisons, and measurements easier in many practical situations.
Can every fraction be converted to a decimal?
Yes, every fraction can be converted to a decimal, but some will result in repeating or non-terminating decimals.
How do I know if a decimal will terminate or repeat?
If the denominator has only the factors 2 and/or 5, the decimal will terminate; otherwise, it will repeat.
Is 0.5625 greater than 1/2?
Yes, 0.5625 is greater than 0.5 (which is 1/2).
What is the easiest way to convert a fraction to a decimal?
The easiest way is to divide the numerator by the denominator using a calculator.
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