Reviewed by Phoebe Belza-Barrientos
8/3 as a Mixed Number
Answer: 8/3 as a mixed number is 2 2/3
When expressing an improper fraction (where the numerator is greater than the denominator) as a mixed number, we rewrite it as a combination of a whole number and a fractional part. This process helps make sense of quantities greater than one in an intuitive way.
Methods
Math Tutor Explanation Using Division Method
This method involves dividing the numerator (8) by the denominator (3) to separate out the whole number part and the remainder.
Step 1: Step 1: Divide the numerator 8 by the denominator 3
Step 2: Step 2: The quotient is the whole number part (2), and the remainder (2) forms the new numerator over the original denominator
Math Tutor Explanation Using Rewriting the Fraction Method
Convert the improper fraction to a sum of whole numbers and a remaining fraction.
Step 1: Step 1: Express 8/3 as (6/3) + (2/3)
Step 2: Step 2: Notice that 6/3 is equivalent to 2, so combine to get 2 2/3
Step 1:
Step 2:
Math Tutor suggests: More Practice with Mixed Numbers and Fractions
Strengthen your understanding of converting improper fractions to mixed numbers and working with similar problems using these related exercises.
FAQ on Mixed Numbers and Improper Fractions
What is a mixed number?
A mixed number is a number that includes both a whole number and a proper fractional part.
How do I convert an improper fraction to a mixed number?
Divide the numerator by the denominator, use the quotient as the whole number, and the remainder over the denominator as the fractional part.
Why convert to a mixed number?
Mixed numbers can make it easier to understand and visualize quantities greater than one.
Can all improper fractions be written as mixed numbers?
Yes, any improper fraction can be expressed as a mixed number.
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