Fraction calculator

This calculator adds 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 observe common denominator. When all denominators are aforementioned, simply add together the numerators and place the effect over the mutual denominator. Then simplify the result to the lowest terms or a mixed number.

The upshot:

i/2 + 1/three = 5 / six ≅ 0.8333333

Spelled result in words is five sixths.

How do nosotros solve fractions step by footstep?

  1. Add: 1 / 2 + 1 / three = 1 · iii / ii · three + 1 · 2 / 3 · two = three / 6 + two / vi = 3 + 2 / 6 = 5 / six
    It is suitable to adjust both fractions to a mutual (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the to the lowest degree mutual multiple of both denominators - LCM(2, 3) = half-dozen. In practise, information technology is enough to find the common denominator (non necessarily the lowest) by multiplying the denominators: 2 × three = 6. In the following intermediate step, information technology cannot further simplify the fraction result by canceling.
    In other words - one half plus one tertiary is five sixths.

Rules for expressions with fractions:

Fractions - use a forward slash to separate the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you employ mixed numbers, exit a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and use a forrard slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, apply a colon (:) as the operator of partition fractions i.east., 1/2 : one/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.e. i.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + one/3
- minus sign subtraction 1 1/two - 2/3
* asterisk multiplication ii/3 * 3/4
× times sign multiplication 2/3 × 5/six
: division sign division i/2 : 3
/ partitioning slash division one/3 / v
: colon complex fraction ane/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within first -three/five - (-i/4)

The reckoner follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Partitioning, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Gild, Partitioning, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the order of operations role of the PEMDAS dominion.
Be careful; always practice multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.