Fraction calculator

This fraction reckoner performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed step-past-step information about the fraction calculation process. The reckoner helps in finding value from multiple fractions operations. Solve problems with two, 3, or more fractions and numbers in 1 expression.

The result:

1/3 * one/2 = i / 6 ≅ 0.1666667

Spelled result in words is one sixth.

How do we solve fractions step by stride?

  1. Multiple: 1 / 3 * i / 2 = 1 · ane / 3 · 2 = one / six
    Multiply both numerators and denominators. Outcome fraction go on to lowest possible denominator GCD(ane, half-dozen) = 1. In the following intermediate stride, it cannot further simplify the fraction issue by canceling.
    In other words - i tertiary multiplied by i half is ane sixth.

Rules for expressions with fractions:

Fractions - employ a forward slash to divide the numerator past the denominator, i.e., for 5-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) continue ane infinite between the integer and
fraction and employ a forwards slash to input fractions i.e., ane 2/3 . An example of a negative mixed fraction: -v i/2.
Because slash is both signs for fraction line and division, utilise a colon (:) as the operator of division fractions i.e., 1/2 : i/iii.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.due east. one.45.

Math Symbols


Symbol Symbol name Symbol Significant Example
+ plus sign addition 1/ii + 1/three
- minus sign subtraction 1 1/two - ii/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/three × 5/half-dozen
: division sign division one/2 : 3
/ sectionalization slash division ane/3 / 5
: colon circuitous fraction 1/2 : ane/iii
^ caret exponentiation / power ane/4^3
() parentheses calculate expression inside kickoff -3/five - (-1/iv)

The calculator follows well-known rules for the social club of operations. The well-nigh common mnemonics for remembering this gild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Partitioning, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Segmentation, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Society, Sectionalisation, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Add-on, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Exist conscientious; always do multiplication and sectionalisation before improver and subtraction. Some operators (+ and -) and (* and /) accept the aforementioned priority and must evaluate from left to right.