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:

1.5 = 3/2 = 1 1/2

Spelled result in words is one and one half (or three halfs).

Calculation steps

  1. Conversion a decimal number to a fraction: 1.5 = 15/10 = 3/2

    a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/1
    b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
    1.5/1 = 15/10
    Note: 15/10 is called a decimal fraction.

    c) Simplify and reduce the fraction
    15/10 = 3 * 5/2 * 5 = 3 * 5/2 * 5 = 3/2

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.