# Calculator adding fractions and mixed numbers

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

### 8/5 + 6 2/7 = 276/35 = 7 31/35 ≅ 7.8857143

Spelled result in words is two hundred seventy-six thirty-fifths (or seven and thirty-one thirty-fifths). ### How do you solve fractions step by step?

- Conversion a mixed number 6 2/7 to a improper fraction: 6 2/7 = 6 2/7 = 6 · 7 + 2/7 = 42 + 2/7 = 44/7

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7/7 = 42/7

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write a previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths - Add: 8/5 + 44/7 = 8 · 7/5 · 7 + 44 · 5/7 · 5 = 56/35 + 220/35 = 56 + 220/35 = 276/35

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 the both denominators - LCM(5, 7) = 35. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 7 = 35. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - eight fifths plus forty-four sevenths = two hundred seventy-six thirty-fifths.

#### Rules for expressions with fractions:

**Fractions**- use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter

**5/100**. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

**Mixed numerals**(mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e.,

**1 2/3**(having the same sign). An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e.,

**1/2 : 3**.

Decimals (decimal numbers) enter with a decimal point

**.**and they are automatically converted to fractions - i.e.

**1.45**.

The colon

**:**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

**1 2/3 : 4 3/8**or can be used for write complex fractions i.e.

**1/2 : 1/3**.

An asterisk

*****or

**×**is the symbol for multiplication.

Plus

**+**is addition, minus sign

**-**is subtraction and

**()[]**is mathematical parentheses.

The exponentiation/power symbol is

**^**- for example:

**(7/8-4/5)^2**= (7/8-4/5)

^{2}

The calculator follows well-known rules for

**order of operations**. The most common mnemonics for remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

- Adding mixed 4

2 and 1 8th plus 1 and 1 3rd = - Add sub fractions

What is 4 1/2+2/7-213/14? - Adding mixed 3

Why does 1 3/4 + 2 9/10 equal 4.65? How do you solve this? - Adding mixed numerals

3 3/4 + 2 3/5 + 5 1/2 Show your solution. - Addition of mixed numerals

Add two mixed fractions: 2 4/6 + 1 3/6 - Adding mixed numbers

Add this two mixed numbers: 1 5/6 + 2 2/11= - Series and sequences

Find a fraction equivalent to the recurring decimal? 0.435643564356 - Conversion of units

Complete the following length data - Fraction

Fraction ? write as fraction a/b, a, b is integers numerator/denominator. - Decimal to fraction

Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - Integer add to fraction

7 is added to the sum of 4/5 and 6/7 - Sum of fractions

What is the sum of 2/3+3/5? - Roses and tulips

At the florist are 50 tulips and 5 times less roses. How many flowers are in flower shop?

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