Reviewed by Camille Ira B. Mendoza
What is 9/20 as a decimal?
Answer: 9/20 as a decimal is 0.45
Converting a fraction to its decimal form is a fundamental math skill that helps in comparing numbers and performing arithmetic. Here, we'll explore how to express 9/20 as a decimal using straightforward steps and different methods.
Methods
Math Tutor Explanation Using the Division Method
This method involves dividing the numerator by the denominator to get the decimal value.
Step 1: Step 1: Divide the numerator (9) by the denominator (20)
Step 2: Step 2: Calculate 9 ÷ 20 to get 0.45
Math Tutor Explanation Using Equivalent Fractions with Powers of 10
By converting 9/20 to an equivalent fraction with a denominator of 100, it's easy to see the decimal representation.
Step 1: Step 1: Multiply the numerator and denominator by 5 to get 45/100
Step 2: Step 2: Recognize that 45/100 is the same as 0.45
Step 1:
Step 2:
Math Tutor suggests: More Practice with Fraction to Decimal Conversions
Strengthen your skills in converting fractions to decimals by exploring these related questions and examples.
FAQ on Converting Fractions to Decimals
Can all fractions be written as decimals?
Yes, any fraction can be expressed as a decimal, though sometimes the decimal repeats endlessly.
How do I know if a decimal will terminate or repeat?
If the denominator in simplest form only has 2 or 5 as prime factors, the decimal will terminate; otherwise, it will repeat.
What is the fastest way to convert fractions with denominators like 20 into decimals?
Find an equivalent fraction with a power of 10 as the denominator, or use division.
Why is 9/20 equal to 0.45?
Because 9 divided by 20 is 0.45, and 9/20 equals 45/100, which is 0.45.
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