# Calculator multiplication of mixed numbers

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.

### 3 3/4 * 2 2/5 = 9/1 = 9

Spelled result in words is nine.### Calculation steps

- Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4 = 3 · 4 + 3/4 = 12 + 3/4 = 15/4

To find a new numerator:

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

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters - Conversion a mixed number 2 2/5 to a improper fraction: 2 2/5 = 2 2/5 = 2 · 5 + 2/5 = 10 + 2/5 = 12/5

To find a new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12

c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths - Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20 = 9 · 20/1 · 20 = 9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/1.

In other words - fifteen quarters multiplied by twelve fifths is nine.

## 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.## Mixed number in word problems:

- Slices 3

A whole pizza is cut into eight equal pieces. How many slices can be cut from 6 1/2 similar pizza? - Show the

Show the product using illustration. What is 2/4 of 23/8? show ¾ of 1 ½ 2 2/3 of 2 ½ ½ of 2 ½ 1 ½ of 2/3 - Farmer

If a farmer plants 2 1/2 a year and the year is 2/3 over, how much has he planted? - Muffins

One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of walnut are needed to make 3 3/4 batches of muffins? - Each cement

Each cement block weighs 1 1/6 pounds. How much do three cement blocks weigh in total? How do you do this? - Apples 19

Joseph harvested 5 ¾ kg of apples from his garden. He sold ½ of it to his neighbor. How many kgs were sold? - The product 3

The product of the two numbers is 15 ⁵/₆. If one of the numbers is 5 ²/₃, find the other. - Twelve eggs

A dozen eggs cost 80 cents. How much will 3½ dozen eggs cost? - Numbers division

With what number should be divided by the mixed number 2 3/4 to get 11/12? - Icing cookies

Miriam is making 3 1/2 dozen cookies. If 2/7 of the cookies have icing, how many dozen cookies have icing? - The quantity

Find the quantity of six times 3 1/2 over 2.

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