# 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:

### 1/4 - 2/3 = -5/12 ≅ -0.4166667

The 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

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(4, 3) = 12. 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 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:

- Difference and mixed numerals

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

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

Joe has two containers of sugar. One container has 1 2/5 cups, and the other has 4 1/10 cups. If he uses 1 4/5 of sugar, how much does he have left?

- Mother 17

Mother has 2/5 cups of flour. She needs 2 1/4 cups of flour for the planned cake. How many cups of flour does she need to buy? - Miguel 2

Miguel had 5/6 of a pizza, and Chris had 1 and 5/8 of a similar pizza. How much more pizza did Chris have than Miguel? - Mr. Giron

Mr. Giron had a rope that was 4 ¼ feet long. His dog bit and cut off 1 ½ foot of the rope. How long is Mr. Giron's rope now?

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