# Calculator subtracting fractions

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.

### 2/3 - 1/2 = 1/6 ≅ 0.1666667

Spelled result in words is one sixth.### How do you solve fractions step by step?

- Subtract: 2/3 - 1/2 = 2 · 2/3 · 2 - 1 · 3/2 · 3 = 4/6 - 3/6 = 4 - 3/6 = 1/6

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(3, 2) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 2 = 6. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - two thirds minus one half = one sixth.

#### 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:

- Add sub fractions

What is 4 1/2+2/7-213/14? - Length subtracting

Express in mm: 5 3/10 cm - 2/5 mm - School

There are 150 pupils in grade 5 . 2/3 of it are female. By what fractions are the males? - Cake fractions

Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5. What fraction of cake left over for others? - Pounds

3 pounds subtract 1/3 of a pound. - Employees

Of all 360 employees, there are 11/12 women. How many men work in a company? - Package

The package was 23 meters of textile. The first day sold 12.3 meters. How many meters of textile remained in the package? - Akpan

Akpan spent 3/8 of his time in school during the week. What fraction of his time does he spend at home during the week? - A jewelry

A jewelry store has 20 grams of gold. If a pair of earrings need 1/4 gram of gold, how many grams are not used? - Regrouping

Subtract mixed number with regrouping: 11 17/20- 6 19/20 - Mixed numbers

Rewrite mixed numbers so the fractions have the same denominator: 5 1/5 - 2 2/3 - From a

From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for her bag. How long was the remaining piece? - Erica

Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric, how much will she have left?

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