# 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 1/2 + 4 2/3 = 43/6 = 7 1/6 ≅ 7.1666667

The spelled result in words is seven and one sixth (or forty-three sixths).### Calculation steps

- Conversion a mixed number 2 1/2 to a improper fraction: 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/2 = 4/2

b) Add the answer from the previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs. - Conversion a mixed number 4 2/3 to a improper fraction: 4 2/3 = 4 2/3 = 4 · 3 + 2/3 = 12 + 2/3 = 14/3

To find a new numerator:

a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/3 = 12/3

b) Add the answer from the previous step 12 to the numerator 2. New numerator is 12 + 2 = 14

c) Write a previous answer (new numerator 14) over the denominator 3.

Four and two thirds is fourteen thirds. - Add: 5/2 + 14/3 = 5 · 3/2 · 3 + 14 · 2/3 · 2 = 15/6 + 28/6 = 15 + 28/6 = 43/6

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(2, 3) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - five halfs plus fourteen thirds is forty-three sixths.

## 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 15

Which is larger, 1 2/7 or 10/4? - What number 2

What number is between 3 1/4 and 3 1/8? Write at least three numbers. - If you 4

If you take away 1 ¾ from 3 1/3, the answer is 2 2/3. Is this correct? - Which 14

Which values of a, b, and c represent the answer in simplest form? 7/9 divided by 4/9 = a StartFraction b Over c EndFraction a = 1, b = 4, c = 3 a = 1, b = 3, c = 4 a = 1, b = 63, c = 36 a = 1, b = 36, c = 63

- Carlo 2

Carlo had 5/6 of pizza, and Dannah had 1 5/8 of a similar pizza. How much more pizza did Dannah have than Carlo? - Conner

Conner picked 8 1/5 pounds of apples. Louisa picked 9 2/3 pounds of apples. How many apples, more pounds, did Louisa pick than Conner? - Lemonade

During a contest, Karlo drank 1 3/4 liters of lemonade, and Ralph drank 1 ½ liter. Who drank more lemonade, and by how much? - Turtles 2

A box turtle hibernates in the sand at 11 5/8 ft. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper? Write the answer as number 1 or 2. - Comparing by height

Ira is 1 2/5 m tall. Her mother is 4/5 m as tall as Ira. How many times is Ira's mother taller than her?

- Mis Harding

Mis Harding will change her tiles; the yards are 2 1/2 yards and 2 1/2 yards on the side. What is her area A 6 1/4 B 4 1/2 C 8 1/2 D 5 1/4 - True or false?

Which of the following is true? A. Three and three ninths plus seven and six-elevenths equal ten and eighty-seven ninety ninths. B. two and three-eighths plus six and four-fifths equals eight and twelve fortieth C. three and three sevenths plus four and t - A rectangular 5

A rectangular picture frame is made of wooden strips ¾ inch wide. The outside edge of the frame is 8 ¼ inches long and 6 ¾ inches wide. Can a rectangular picture 7 inches long and 5 ½ inches wide fit inside the frame? CLEARLY EXPLAIN your answer. - Integers 6915

Which even integers are greater than -1 1/4 and less than 7 1/4? The mark is on the number axis. - Identify improper fraction

How do you identify improper fractions? Which is improper: A) 3/4 B) 32/15 C) 3/9 D) 2 2/11

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