Mixed Number to Improper Fraction Calculator

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Mixed Number to Improper Fraction

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 mixed numbers to improper fractions:

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

A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.

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

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

Step 1: Multiply the denominator (the bottom number in the fraction) and the whole number

9 × 3 = 27

Step 2: Add the answer from Step 1 to the numerator (the top number in the fraction)

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:

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

Use the Simplifying Fractions Calculator to convert improper fractions to mixed numbers.