Convert Between Improper Fractions and Mixed Numbers

A mixed number has a fraction and a whole number.
An improper fraction has a numerator that equals or is higher than the denominator. It can be represented via a mixed number.
Step by step to convert an improper fraction to a mixed number:
Step 1: Divide the numerator by its denominator. The result is the whole number, and whatever remains is the new fraction’s numerator.
Step 2: The denominator of the new fraction is the same number as the original denominator.
Step 3: If there is no remainder, there is no fraction so a resulting number is a whole number.
Convert Between Improper Fractions and Mixed Numbers – Examples 1
Write \(4 \frac{3}{4}\) as an improper fraction.
Solutions:
Step 1: Multiply the whole number in the denominator. \(4×4\)
Step 2: Add the result to the numerator and write in the numerator. 16+3
Step 3: The denominator is the same as the mixed number. 4
\(4 \frac{3}{4}=\frac{(4×4)+3}{4}=\frac{19}{4}\)
Convert Between Improper Fractions and Mixed Numbers – Examples 2
Write \(\frac{63}{8}\) as a mixed fraction.
Step 1: Divide the numerator by the denominator. \(61÷8\)
Step 2: The whole number is 7.
Step 3: The rest is the new fraction’s numerator 5.
\(\frac{61}{8}=\frac{(8×7)+5}{8}=7 \frac{5}{8}\)
Related to This Article
More math articles
- FREE 3rd Grade NYSE Math Practice Test
- Unlocking the Secrets of Triangle Angle Bisectors
- Area Models Unveiled: How to Divide Unit Fractions by Whole Numbers
- Mastering the Art of Teaching Pre-Algebra with “Pre-Algebra for Beginners”
- HiSET Math FREE Sample Practice Questions
- Metric Units
- How to Perform Scalar Multiplication
- The Best CHSPE Math Worksheets: FREE & Printable
- Top 10 HSPT Math Practice Questions
- CLEP College Algebra Worksheets: FREE & Printable
What people say about "Convert Between Improper Fractions and Mixed Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.