# 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:

### 1.5 3/2 = 1 1/2

The spelled result in words is one and one half (or three halfs). =### Calculation steps

- 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 ate, there were 14 pieces left, which is $254 $ of cake. When we eat two pieces, $253 $ of the cake remains.#### Examples:

• sum of two mixed numbers: 1 3/4 + 2 3/8• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8

• addition of two mixed numbers: 2 1/2 + 4 2/3

• subtracting two mixed numbers: 7 1/2 - 5 3/4

• multiplication of mixed numbers: 3 3/4 * 2 2/5

• comparing mixed numbers: 3 1/4 2 1/3

• What is 3/4 as a mixed number: 3/4

• subtracting mixed number and fraction: 1 3/5 - 5/6

• sum mixed number and an improper fraction: 1 3/5 + 11/5

## Mixed number in word problems:

- The recipe 3

The recipe for cookies with cream requires 1 2/6 cups of cream for 1 tub. How many cups of cream will you need for 4 tubs? - Divide mixed numbers

Divide the following fractions and reduce your answers to its simplest form if possible: 1. 2 3/4 ÷ 3 1/12 2. 3 2/3 ÷ 4 1/2 3. 5 3/7 ÷ 2 3/9 4. 6 2/3 ÷ 1 1/5 - Improper to mixed number

Convert improper fraction 34/7 to a mixed fraction. - Difference and mixed numerals

What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form.

- A water

A water jug has 1 5/8 liters of liquid. How do you write this mixed number as a decimal? - Difference of mixed numbers

12 1/2 - 9 1/5. What is the difference? - Juan collected

Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many bins as Juan. How many bins of bottles did Richard collect?

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