Add, subtract, multiply, or divide mixed numbers and fractions — results are simplified and converted back to a mixed number automatically.
Enter a mixed number to see its improper fraction, or an improper fraction to see its mixed number.
A mixed number combines a whole number with a proper fraction — for example, 2 1/2 means 2 whole units plus one half more. Mixed numbers show up constantly in everyday measurements: recipe amounts ("1 1/2 cups"), lengths ("3 3/4 inches"), and time ("2 1/2 hours") are almost always written this way rather than as an improper fraction like 5/2.
This mixed number fraction calculator lets you add, subtract, multiply, or divide mixed numbers directly — enter the whole number and fraction for each value, and the result comes back simplified and converted to a mixed number automatically.
Convert each mixed number to an improper fraction first, perform the addition or subtraction using a common denominator, then convert the result back to a mixed number.
Multiply the whole number by the denominator, add the numerator, and keep the same denominator.
Divide the numerator by the denominator. The whole-number quotient becomes the leading number, and the remainder sits over the original denominator.
Convert both mixed numbers to improper fractions first — never multiply the whole numbers and fractions separately, since that gives a wrong answer. To multiply, multiply numerators together and denominators together. To divide, multiply the first fraction by the reciprocal (flip) of the second.
A mixed number combines a whole number with a proper fraction, such as 2 1/2, which means 2 whole units plus one half more. Mixed numbers are common in everyday measurements — recipes, construction, and time are usually expressed this way rather than as improper fractions like 5/2.
Convert each mixed number to an improper fraction, add the fractions using a common denominator, then convert the result back to a mixed number. For example, 2 1/2 + 1 1/3 converts to 5/2 + 4/3, which equals 15/6 + 8/6 = 23/6, or 3 5/6 as a mixed number.
Multiply the whole number by the denominator, add the numerator, and place that total over the original denominator. For example, 2 1/3 becomes (2x3+1)/3 = 7/3.
Divide the numerator by the denominator. The whole-number result is the quotient, and the remainder becomes the new numerator over the same denominator. For example, 23/6 divides to 3 with a remainder of 5, giving the mixed number 3 5/6.
Convert both mixed numbers to improper fractions first. To multiply, multiply the numerators and denominators directly. To divide, multiply the first fraction by the reciprocal of the second. Then simplify and convert the result back to a mixed number if it's larger than 1.