Mixed Fraction Calculator
Perform arithmetic (+, -, *, /) on mixed fractions (whole numbers with fractions).
Use this mixed fraction calculator, mixed number calculator, fraction calculator, mixed fraction simplifier, mixed number simplifier calculator for quick, clear estimates. Try a tiny example to see the impact of each input.
Q: What is a mixed fraction?
A mixed fraction, also known as a mixed number, is a number consisting of a whole number and a proper fraction. For example, 3 ½ is a mixed fraction, where 3 is the whole number and ½ is the proper fraction.
How do you convert a mixed fraction to an improper fraction?
To convert a mixed fraction to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator to that product. The result becomes the new numerator, while the denominator remains the same. For example, to convert 2 ¾, you would calculate (2 4) + 3 = 11, so the improper fraction is 11/4.
How do you add and subtract mixed fractions?
To add or subtract mixed fractions, you can either convert them into improper fractions first, find a common denominator, and then perform the operation, or you can add/subtract the whole numbers and the fractional parts separately. If operating separately, ensure the fractional parts have a common denominator. When subtracting, you might need to “borrow” from the whole number if the first fraction is smaller than the second.
How do you simplify mixed fractions?
To simplify a mixed fraction, you first ensure the fractional part is in its simplest form. This means dividing both the numerator and the denominator of the fractional part by their greatest common divisor (GCD). The whole number part remains unchanged. If the fractional part is already simplified, then the entire mixed fraction is simplified.