# 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:

### 1/4 + 2/3 = 11/12 ≅ 0.9166667

Spelled result in words is eleven twelfths.### Calculation steps

- Add: 1/4 + 2/3 = 1 · 3/4 · 3 + 2 · 4/3 · 4 = 3/12 + 8/12 = 3 + 8/12 = 11/12

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

In other words - one quarter plus two thirds is eleven 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:

- Change 8

Change this mixed number into an improper fraction of 2 1/9 - Convert 4

Convert 2 7/10 into an improper fraction. - Marry

Marry had 1 1/2 dozen eggs in the refrigerator. She used 1/3 of the eggs. What part of the eggs was used? - Mixed to improper

Change the given mixed numbers to improper fraction: five-and-four-over-nine (5 4/9) - Convert 5

Convert to a mixed number and simplify: 83/6 - Convert 7

Convert improper fraction to mixed fraction Question- 34/7 - Peter's calculation

Peter wrote the following: 7 1/4 - 3 3/4 = 4 2/4 = 4 1/2 . Is Peter's calculation correct? Using words (math vocabulary) and numbers to explain why he is correct or incorrect. - Mrs. Jones

Mrs. Jones bakes pies. She always cuts each pie into eight slices. There are 13 slices left on the counter. Write the number of pies on the counter as a mixed number. - Decimal equivalent

Which mixed number is equivalent to 2.68? A:2 and 6 eighths B:2 and 68 tenths C:2 and 6 over 68 - X y/10

X y/10 is a fractional number that is greater than 6.895 but smaller than 7.8. If x and y are both single-digit natural numbers and x < y, then find the numbers. - Mixed2improper

Write the mixed number as an improper fraction: 166 2/3 - A science

A science experiment calls for making 3 and 2/3 cups of distilled water with 1 and 3/5 cups of vinegar and 2/3 cups of liquid detergent. How much liquid in all cups is needed? - Dividing by negative mixed

Susan really wants to find 2 2/3÷-1 3/7. She writes the division as 2 2/3×-1 7/3. What is wrong with Amelia's reasoning? - Estimate subtraction

What's the estimate of 3 1/3 - 1 5/6? - Slices 3

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

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