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Mixed Number to Improper Fraction Calculator

Mixed Number to Improper Fraction
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Answer:
\[ = \frac{32}{9} \]Solution
Step 1
Multiply the denominator by the whole number
9 × 3 = 27

Step 2
Add the answer from Step 1 to the numerator
27 + 5 = 32

Step 3
Write answer from Step 2 over the denominator
32/9\[ = \frac{32}{9} \]Simplified Solution
\[ = \frac{9 \times 3 + 5}{9}= \frac{32}{9} \]

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Calculator Use

Follow these 3 steps to convert a mixed number to improper fraction:

  1. Multiply the whole number by the denominator
  2. Add the answer from Step 1 to the numerator
  3. Write answer from Step 2 over the denominator

You can use the Simplifying Fractions Calculator as an improper fraction to mixed number calculator.

Example: Convert the following mixed number to an improper fraction.

\( 3\dfrac{5}{9} \)

Step 1: Multiply the denominator by the whole number

9 × 3 = 27

Step 2: Add the answer from Step 1 to the numerator

27 + 5 = 32

Step 3: Write answer from Step 2 over the denominator

\( \dfrac{32}{9} \)

As an alternative, once you get comfortable with the steps, you can simplify the process and do all 3 steps at once:

\( 3\dfrac{5}{9}=\dfrac{9\times3+5}{9}=\dfrac{32}{9} \)


 

Cite this content, page or calculator as:

Furey, Edward "Mixed Number to Improper Fraction Calculator"; from http://www.calculatorsoup.com - Online Calculator Resource.

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