# 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:

### 2/3 * 1/6 = 1/9 ≅ 0.1111111

Spelled result in words is one ninth.### Calculation steps

- Multiple: 2/3 * 1/6 = 2 · 1/3 · 6 = 2/18 = 1 · 2/9 · 2 = 1/9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 18) = 2. In the following intermediate step, cancel by a common factor of 2 gives 1/9.

In other words - two thirds multiplied by one sixth is one ninth.

## 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

• 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 - Change 8

Change this mixed number into an improper fraction of 2 1/9 - Mixed2improper

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

Marry had 1 1/2 dozen eggs in the refrigerator. She used 1/3 of the eggs. What part of the eggs was used? - 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. - Convert 4

Convert 2 7/10 into 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. - 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 - X y/10

X y/10 is a fractional number that is greater than 6.895 but smaller than 7.8. If x and y are both single-digit natural numbers and x < y, then find the numbers. - A rectangular 12

A rectangular mobile phone has a length of 13 1/3cm and a width of 5 1/3 cm. What is the perimeter of the phone? - Slices 3

A whole pizza is cut into eight equal pieces. How many slices can be cut from 6 1/2 similar pizza? - Difference of mixed numbers

12 1/2 - 9 1/5. What is the difference? - What is 28

What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form. - Zailene 2

Zailene has 8 2/3 cups of flour. She used 5 1/2 cups of flour. How many cups of flour were left to her?

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