Reviewed by Laila A. Lico
What is 3/2 as a decimal?
Answer: 3/2 as a decimal is 1.5
Converting a fraction like 3/2 into a decimal format allows for easier comparison and use in many mathematical contexts. Since the numerator (3) is greater than the denominator (2), this fraction is known as an improper fraction and its decimal will be greater than 1.
Methods
Math Tutor Explanation Using the Division Method
The division method involves dividing the numerator by the denominator to obtain the decimal value.
Step 1: Step 1: Divide the numerator (3) by the denominator (2)
Step 2: Step 2: 3 divided by 2 equals 1.5
Math Tutor Explanation Using Mixed Number Conversion
Improper fractions can also be converted to mixed numbers first, then to decimals.
Step 1: Step 1: Express 3/2 as a mixed number (1 1/2)
Step 2: Step 2: Convert 1/2 to decimal (0.5), then add 1 + 0.5 to get 1.5
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Want to get even better at converting fractions to decimals? Try these related practice questions to sharpen your skills.
FAQ on Converting Fractions to Decimals
Why is 3/2 considered an improper fraction?
Because the numerator (3) is greater than the denominator (2).
Is 1.5 the same as 1 1/2?
Yes, 1.5 and 1 1/2 represent the same value.
Can all fractions be converted to decimals?
Yes, all fractions can be expressed as decimals, though some may be repeating or terminating.
What if the decimal repeats?
If the decimal repeats, you can indicate it with a bar or by writing several repeating digits.
How do I check my work?
Multiply the decimal result by the denominator; if you get the numerator, your answer is correct.
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