Converting Between Improper Fractions and Mixed Numbers
Learning Outcomes
- Convert mixed numbers to improper fractions
- Convert improper fractions to mixed numbers
Example
Convert [latex]\frac{11}{6}[/latex] to a mixed number. Solution:[latex]\frac{11}{6}[/latex] | |
Divide the denominator into the numerator. | Remember [latex]\frac{11}{6}[/latex] means [latex]11\div 6[/latex] . |
Identify the quotient, remainder and divisor. | |
Write the mixed number as [latex]\text{quotient}\frac{\text{remainder}}{\text{divisor}}[/latex] . | [latex]1\frac{5}{6}[/latex] |
So, [latex]\frac{11}{6}=1\frac{5}{6}[/latex] |
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#145979 [ohm_question]145979[/ohm_question]Convert an improper fraction to a mixed number.
- Divide the denominator into the numerator.
- Identify the quotient, remainder, and divisor.
- Write the mixed number as quotient [latex]\frac{\text{remainder}}{\text{divisor}}[/latex] .
Example
Convert the improper fraction [latex]\frac{33}{8}[/latex] to a mixed number.Answer: Solution:
[latex]\frac{33}{8}[/latex] | |
Divide the denominator into the numerator. | Remember, [latex]\frac{33}{8}[/latex] means [latex]8\overline{)33}[/latex] . |
Identify the quotient, remainder, and divisor. | |
Write the mixed number as quotient [latex]\frac{\text{remainder}}{\text{divisor}}[/latex] . | [latex]4\frac{1}{8}[/latex] |
So, [latex]\frac{33}{8}=4\frac{1}{8}[/latex] |
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#145979 [ohm_question height="270"]145979[/ohm_question]Example
Convert the mixed number [latex]4\frac{2}{3}[/latex] to an improper fraction.Answer: Solution:
[latex]4\frac{2}{3}[/latex] | |
Multiply the whole number by the denominator. | |
The whole number is 4 and the denominator is 3. | |
Simplify. | |
Add the numerator to the product. | |
The numerator of the mixed number is 2. | |
Simplify. | |
Write the final sum over the original denominator. | |
The denominator is 3. | [latex]\frac{14}{3}[/latex] |
try it
#145980 [ohm_question height="270"]145980[/ohm_question]Convert a mixed number to an improper fraction.
- Multiply the whole number by the denominator.
- Add the numerator to the product found in Step 1.
- Write the final sum over the original denominator.
Example
Convert the mixed number [latex]10\frac{2}{7}[/latex] to an improper fraction.Answer: Solution:
[latex]10\frac{2}{7}[/latex] | |
Multiply the whole number by the denominator. | |
The whole number is 10 and the denominator is 7. | |
Simplify. | |
Add the numerator to the product. | |
The numerator of the mixed number is 2. | |
Simplify. | |
Write the final sum over the original denominator. | |
The denominator is 7. | [latex]\frac{72}{7}[/latex] |
Try it
#145980 [ohm_question height="270"]145980[/ohm_question]Licenses & Attributions
CC licensed content, Shared previously
- Examples: Convert an Improper Fraction to a Mixed Number. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
- Examples: Converting a Mixed Number to an Improper Fraction. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
CC licensed content, Specific attribution
- Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].