# 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

- 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.#### 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

• changing improper fraction to mixed number: 9/4

• 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:

- Which 5

Which mixed number is equivalent to 2.68? A:2 and 6 eighths B:2 and 68 tenths C:2 and 6 over 68 - Mixed2improper

Write the mixed number as an improper fraction: 166 2/3 - Convert 4

Convert 2 7/10 into an improper fraction. - Mixed to improper

Change the given mixed numbers to improper fraction: five-and-four-over-nine (5 4/9) - Convert 5

Convert to a mixed number and simplify: 83/6 - Peter's calculation

Peter wrote the following: 7 1/4 - 3 3/4 = 4 2/4 = 4 1/2 . Is Peter's calculation correct? Using words (math vocabulary) and numbers to explain why he is correct or incorrect. - Pies

Mrs. Monica bakes pies. She always cuts each pie into eight slices. There are 13 slices left on the counter. Write the number of pies on the counter as a mixed number and as an improper fraction. - Mrs. Jones

Mrs. Jones bakes pies. She always cuts each pie into eight slices. There are 13 slices left on the counter. Write the number of pies on the counter as a mixed number. - An electricfan

An electric fan has a piece of wire 4 3/8 centimeters long. She divides the wire into parts that are 1 2/3 centimeters long. How many pieces does she have? - A mixed school

In a mixed school, 5/9 of the pupils are boys. If there are 128 girls, how many pupils are there altogether? - Subtract

Subtract two mixed numbers: 3 1/2 -1 3/4

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