Reviewed by Phoebe Belza-Barrientos
What is 9/5 as a decimal?
Answer: 9/5 as a decimal is 1.8
Converting a fraction like 9/5 into its decimal form is a common math task that involves dividing the numerator by the denominator. This process helps in understanding fractions in another numerical form, which is especially useful in calculations and real-world applications.
Methods
Math Tutor Explanation Using the Division Method
The most straightforward way to convert 9/5 to a decimal is by dividing the numerator (9) by the denominator (5).
Step 1: Step 1: Divide 9 by 5
Step 2: Step 2: The quotient is the decimal form of the fraction
Math Tutor Explanation Using Equivalent Fractions with Denominators of 10 or 100
Another way is to rewrite the fraction so that the denominator is a power of 10, which is easier to interpret as a decimal.
Step 1: Step 1: Multiply both the numerator and denominator by 2 to get 18/10
Step 2: Step 2: Recognize that 18/10 is the same as 1.8
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Strengthen your understanding of converting fractions to decimals by exploring these similar exercises.
FAQ on Fraction to Decimal Conversion
Can all fractions be converted to a decimal?
Yes, every fraction can be written as a decimal, though some decimals repeat or go on forever.
What is an improper fraction?
An improper fraction is when the numerator is greater than or equal to the denominator.
Is 9/5 a terminating or repeating decimal?
9/5 is a terminating decimal because 1.8 ends after one decimal place.
How else can I write 9/5 as a decimal?
You can express 9/5 as 1.8, which is a mixed number 1 4/5 in decimal form.
Why is it useful to convert fractions to decimals?
Decimals are often easier to use in calculations, measurements, and in understanding relative sizes.
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