Mixed number calculator



This calculator performs basic and advanced operations with mixed numbers, fractions, integers, 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:

2/3 * 1/6 = 1/90.1111111

Spelled result in words is one ninth.

Calculation steps

  1. Multiple: 2/3 * 1/6 = 2 · 1/3 · 6 = 2/18 = 1 · 2/9 · 2 = 1/9
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 18) = 2. In the following intermediate step, cancel by a common factor of 2 gives 1/9.
    In other words - two thirds multiplied by one sixth is one ninth.

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 cake remains.