# 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?

1. 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: 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?