Fraction calculator

This reckoner subtracts two fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Find Least Common Denominator (LCD) or simple multiply all denominators to find common denominator. When all denominators are same, simply subtract the numerators and identify the event over the common denominator. Then simplify the result to the everyman terms or a mixed number.

The result:

i/2 - 1/8 = 3 / 8 = 0.375

Spelled result in words is three eighths.

How do nosotros solve fractions stride by step?

  1. Subtract: 1 / ii - 1 / viii = 1 · 4 / ii · 4 - one / viii = 4 / 8 - 1 / viii = 4 - i / viii = 3 / eight
    It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparison fractions. The mutual denominator you can calculate equally the least common multiple of both denominators - LCM(2, eight) = 8. In practice, it is enough to find the mutual denominator (non necessarily the everyman) by multiplying the denominators: two × viii = 16. In the post-obit intermediate stride, it cannot further simplify the fraction issue by canceling.
    In other words - ane half minus ane 8th is three eighths.

Rules for expressions with fractions:

Fractions - use a frontward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you utilize mixed numbers, get out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go along one space between the integer and
fraction and use a frontwards slash to input fractions i.eastward., 1 2/3 . An example of a negative mixed fraction: -5 one/two.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of segmentation fractions i.e., 1/2 : one/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.east. 1.45.

Math Symbols


Symbol Symbol name Symbol Pregnant Example
+ plus sign addition 1/2 + ane/3
- minus sign subtraction 1 one/2 - 2/iii
* asterisk multiplication 2/3 * 3/four
× times sign multiplication 2/3 × 5/6
: division sign segmentation 1/2 : 3
/ sectionalization slash partitioning 1/3 / 5
: colon circuitous fraction 1/2 : 1/3
^ caret exponentiation / power one/4^iii
() parentheses calculate expression inside first -3/5 - (-one/4)

The calculator follows well-known rules for the gild of operations. The most common mnemonics for remembering this social club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Society, Partitioning, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division take the same precedence over Addition and Subtraction. The MDAS rule is the lodge of operations role of the PEMDAS dominion.
Be careful; e'er practise multiplication and partitioning before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.