# 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.

## Result:

### 1/4 - 2/3 = -5/12 ≅ -0.4166667

Spelled result in words is minus five twelfths.### Calculation steps

- Subtract: 1/4 - 2/3 = 1 · 3/4 · 3 - 2 · 4/3 · 4 = 3/12 - 8/12 = 3 - 8/12 = -5/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one quarter minus two thirds is minus five twelfths.

## 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:

- 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. - Zailene 2

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

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

Find the difference. 5 and two-thirds minus 2 and one-half equals what number? A. three and one-sixth B. three and two-thirds C. three and one-half D. three and five-sixths - How much 3

How much more is 1⅝ than 4⅚? - If you 5

If you subtract N from 8 2/5 the difference is 3 4/3. what is N? - Sum of mixed

The sum of two mixed numbers is 15½. One of the number is 5 ¾, what is the other? - Difference mixed fractions

What is the difference between 4 2/3 and 3 1/6? - The melon

There was 1 3/6 melon left for dinner. At dinner time, the family ate 4/6 of the melon. What part of the melon was left for the next meal? - Equation with mixed 2

A number, X, is subtracted from 8 1/4. The result is 12 3/5. What is the value of X? - Add+subtract mixed numerals

What is the result when 3 ¼ + 2 ⅙ is subtracted from 4 ½ - 3 ¾

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