# Calculator sum mixed number and an improper fraction

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.

### 13/5 + 11/5 = 19/5 = 3 4/5 = 3.8

Spelled result in words is three and four fifths (or nineteen fifths).

### Calculation steps

1. Conversion a mixed number 1 3/5 to a improper fraction: 1 3/5 = 1 3/5 = 1 · 5 + 3/5 = 5 + 3/5 = 8/5

To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/5 = 5/5
b) Add the answer from the previous step 5 to the numerator 3. New numerator is 5 + 3 = 8
c) Write a previous answer (new numerator 8) over the denominator 5.

One and three fifths is eight fifths.
2. Add: 8/5 + 11/5 = 8 + 11/5 = 19/5
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(5, 5) = 5. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight fifths plus eleven fifths is nineteen fifths.

## 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.