# Calculator multiplication of mixed numbers

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.

### 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 the 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 the 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 ate, there were 14 pieces left, which is $254 $ of cake. When we eat two pieces, $253 $ of the 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? - Juan collected

Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many bins as Juan. How many bins of bottles did Richard collect? - Multiply 14

Multiply 36/12 and 33/12. Write the answer as an improper fraction in lowest terms. - Dividing cups

What is 1/4th of 3 2/3 cups? - Mary needs

Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? - What is 29

What is the product of negative 2 and 2 over 5 and negative 3 and 5 over 6? Enter your answer as a mixed number or improper fraction in the simplest form. - 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? - Farmer

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

Juana had 15 ½ of cloth for her table. She shared ¾ of this with her siblings. How many meters did she share? - 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 - Product of two fractions

6 2/3*3/10 in simplest form - Haley

Haley collected 1/2 of a bin of glass bottles to recycle. Tiana collected 2 3/4 times as many bins as Haley. How many bins of bottles did Tiana collect? - Cookies 7

One batch of cookies requires 2 2/3 cups of sugar. How much sugar does Angela need if she wants to make 1 1/2 batches? - 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 - Twelve eggs

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

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