Mixed number calculator

This calculator performs basic and advanced operations with mixed numbers, fractions, integers, and decimals. Mixed numbers are also called mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.

The result:

3 2/3 = 11/3 = 3 2/33.6666667

Spelled result in words is three and two thirds (or eleven thirds).

Calculation steps

  1. Conversion a mixed number 3 2/3 to a improper fraction: 3 2/3 = 3 2/3 = 3 · 3 + 2/3 = 9 + 2/3 = 11/3

    To find a new numerator:
    a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/3 = 9/3
    b) Add the answer from the previous step 9 to the numerator 2. New numerator is 9 + 2 = 11
    c) Write a previous answer (new numerator 11) over the denominator 3.

    Three and two thirds is eleven thirds.

What is a mixed number?

A mixed number is an integer and fraction acb whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as 254. Its value is: 254=2+54=510+54=514. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: 254=2 54. A negative mixed number - the minus sign also applies to the fractional 254=(254)=(2+54)=514. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.

How do I imagine a mixed number?

We can imagine mixed numbers in the example of cakes. We have three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One-piece when we eat, there are 14 pieces left, which is 254 of cake. When we eat two pieces, 253 of the cake remains.

Mixed number in word problems:

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