# 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:

### 5 3/4 = 23/4 = 5 3/4 = 5.75

Spelled result in words is five and three quarters (or twenty-three quarters).### Calculation steps

- Conversion a mixed number 5 3/4 to a improper fraction: 5 3/4 = 5 3/4 = 5 · 4 + 3/4 = 20 + 3/4 = 23/4

To find a new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

## 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:

- For each

For each pair of expressions, circle the greater product without finding the product. (write 1=left expression, 2=right expression) a. 3/4 x 2/3 and 3/4 x 1/2 b. 2/3 x 3 1/4 and 4/3 x 3 1/4 c. 3/8 x 3/8 and 3/8 x 1/2 - Comparing weights

Tam baked 4⅔ dozen cupcakes. Lani baked 4⅓ dozen cupcakes. Mabel baked 5⅓ dozen cupcakes. Who baked the most cupcakes (write a first letter: T or L, M) - 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? - 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? - Comparing mixed numbers

Which of the following expression will give a sum of 7 and 3/10? A. 3 and 1/5+ 4 and 2/2 B. 3 and 1/10+4 and 2/10 C. 1/10+ 7 and 2/5 D. 2 and 1/10+ 5 and 3/10 - A snack

Jim made a snack by combining ⅓ of a bowl of granola with ¼ of a bowl of chopped banana and ½ of a bowl of yogurt. Did one bowl hold all of the ingredients at one time? Explain your answer. - Sandy

Sandy, John, and Marg baked pies for the Bake Sale. Sandy cut his pies into 6ths, John cut his into 8ths, and Marg cut hers into quarters. Sandy sold 11/6, John sold 1 3/8 pies, and Marg sold 9/4 pies. Who sold the most pies? Who sold the fewest? - Evaluate mixed expressions

Which of the following equals 4 and 2 over 3 divided by 3 and 1 over 2? A. 4 and 2 over 3 times 3 and 2 over 1 B. 14 over 3 times 2 over 7 C. 14 over 3 times 7 over 2 D. 42 over 3 times 2 over 31 - 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? - 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 - Sayavong

Stephan is making cookies for the class. He has a recipe that calls for 3 and 1/2 cups of flour. He has 7/8 a cup of wheat flour and 2 and 1/2 cups white flour. Does Mr. Sayavong have enough flour to make the cookies?

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