# Mixed number calculator

This calculator performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed fractions are also called mixed numbers. A mixed fraction 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.

## 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 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 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

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, 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 = seventeen twelfths.

#### 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 fractions in word problems:

- 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 explain why he is correct or incorrect. - If you 5

If you subtract N from 8 2/5 the difference is 3 4/3. what is N? - Subtract

Subtract two mixed numbers: 3 1/2 -1 3/4 - Subtract mixed

Find the difference. 5 and two-thirds minus 2 and one-half equals what number? A. three and one-sixth B. three and two-thirds C. three and one-half D. three and five-sixths - How much 3

How much more is 1⅝ than 4⅚? - Zailene 2

Zailene has 8 2/3 cup of flour. She used 5 1/2 cups of flour. How many cups of flour was left to her? - Sum of mixed

The sum of two mixed numbers is 15½. One of the number is 5 ¾, what is the other? - Cups of punch

Cyka made 6 19/20 cups of punch punch at two different types of juice in it. If the punch had 4 1/5 cups of one type of juice how many cups of the other type of juice did it have? - Sum of 20

Sum of the two numbers is 15 1/6. If one of the numbers is 2 2/3, find the other number. - Mang lino's

Mang lino's rice harvest yielded 15 1/4 sacks of rice, while Mang Pepe's rice harvest yielded 19 3/4 sacks of rice. How much more did Mang Pepe harvest than Mang lino? - Difference mixed fractions

What is the difference between 4 2/3 and 3 1/6?

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