Easily convert between mixed numbers and improper fractions with our intuitive calculator. Whether you are studying fractions or solving real-world problems, get instant results with detailed step-by-step solutions.
Mixed Number
2.33
Already simplified
A mixed number combines a whole number with a proper fraction, like 2 1/3, which represents two whole units plus one-third of another unit. Mixed numbers are commonly used in everyday situations because they are easy to understand and visualize.
For example, if you have 2 1/2 pizzas, you have two complete pizzas plus half of another pizza. This format makes it simple to see both the whole amount and the fractional part at a glance.
An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 7/4 or 5/5. While they may look unusual at first, improper fractions are extremely useful for mathematical operations.
The same value 2 1/2 can be written as the improper fraction 5/2. Both represent exactly the same amount, but improper fractions are often easier to work with when performing calculations like multiplication or division.
Converting between these two formats is straightforward once you understand the process. Our calculator handles both directions automatically and shows you every step.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fractional part.
Both mixed numbers and improper fractions have their place in mathematics and everyday life. Knowing when to use each format makes working with fractions much easier.
Understanding when and how to convert between these formats has many real-world applications:
A recipe calls for 1 1/2 cups of flour. To triple it, convert to 3/2 cups, multiply by 3 to get 9/2, then convert back to 4 1/2 cups.
If you need to cut wood into pieces of 2 3/4 inches, converting to 11/4 inches makes calculations easier when working with total lengths.
Understanding that 1 1/2 hours equals 3/2 hours helps when calculating rates or durations in decimal format.
| Mixed Number | Improper Fraction | Decimal |
|---|---|---|
| 1 1/2 | 3/2 | 1.5 |
| 2 1/3 | 7/3 | 2.33 |
| 1 3/4 | 7/4 | 1.75 |
| 2 1/4 | 9/4 | 2.25 |
| 3 2/5 | 17/5 | 3.4 |
| 1 5/8 | 13/8 | 1.625 |