# 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 2/3 - 1 1/4 = 17/12 = 1 5/12 ≅ 1.4166667

Spelled result in words is one and five twelfths (or seventeen twelfths).### Calculation steps

- Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3 = 6 + 2/3 = 8/3

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds. - Conversion a mixed number 1 1/4 to a improper fraction: 1 1/4 = 1 1/4 = 1 · 4 + 1/4 = 4 + 1/4 = 5/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

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 4.

One and one quarter is five quarters. - Subtract: 8/3 - 5/4 = 8 · 4/3 · 4 - 5 · 3/4 · 3 = 32/12 - 15/12 = 32 - 15/12 = 17/12

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(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight thirds minus five quarters is seventeen 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

• 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:

- Order fractions

Arrange in ascending order 1 5/6, 11/9, 5/16, 3 - 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. - 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) - 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? - 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. - If you 4

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

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