# 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:

### 3/4 + 5/6 = 19/12 = 1 7/12 ≅ 1.5833333

Spelled result in words is one and seven twelfths (or nineteen twelfths).

### Calculation steps

1. Add: 3/4 + 5/6 = 3 · 3/4 · 3 + 5 · 2/6 · 2 = 9/12 + 10/12 = 9 + 10/12 = 19/12
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 6) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 6 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three quarters plus five sixths is nineteen twelfths.

## What is a mixed number?

A mixed number is an integer and fraction whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as . Its value is . The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: . A negative mixed number - the minus sign also applies to the fractional . 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 ate, there were 14 pieces left, which is of cake. When we eat two pieces, of the cake remains.