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Converting Mixed Numbers to Improper Fractions
04/28/2025
Our free mixed number to improper fraction calculator instantly converts any mixed number with step-by-step explanations. Perfect for students, teachers, and anyone working with fractions, this tool shows you exactly how to multiply the whole number by the denominator, add the numerator, and create a proper improper fraction. Simply enter your whole number and fraction components to get immediate results with a clear breakdown of each step in the conversion process. Improve your math skills with this intuitive, educational calculator - no sign-up required.
Mixed Number to Improper Fraction Calculator
Steps for converting 23
9 into an improper fraction.
3
9
9
- Step 1.Multiply the whole number by the denumerator (i.e., 2 × 9 = 18).
- Step 2. Add the result to the numerator (i.e., 18 + 3 = 21). This will make your new numerator.
Mixed numbers are numbers that consist of a whole number and a fraction. For example, 3½ is a mixed number because it has a whole number part (i.e., 3) and a fraction part (½). Improper fractions, on the other hand, are fractions where the numerator is greater than or equal to the denominator. For example, 7/2 is an improper fraction because the numerator (i.e., 7) is greater than the denominator (i.e., 2).
Converting a mixed number to an improper fraction can be useful in a variety of mathematical operations. To convert a mixed number to an improper fraction, follow these steps:
- Multiply the whole number by the denominator of the fraction.
- Add the result to the numerator of the fraction.
- Place the sum from step 2 over the original denominator.
For example, let's convert 3 ½ to an improper fraction:
- Multiply the whole number (i.e., 3) by the denominator of the fraction (2): 3 x 2 = 6.
- Add the result from step 1 (i.e., 6) to the numerator of the fraction (1): 6 + 1 = 7.
- Place the sum from step 2 (i.e., 7) over the original denominator (2): 7/2.
Therefore, 3½ can be written as the improper fraction 7/2.
Mixed-Number to Improper Fraction Calculator
To make the process of converting mixed numbers to improper fractions easier, we have created a calculator that can do the conversion for you, as seen above. Simply enter the whole number and fraction into the calculator and it will give you the improper fraction along with the steps that that take your from the mixed number to the improper fraction.
We hope this article and calculator are helpful in your mathematical pursuits!