Fraction calculator

This fraction calculator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed step-by-step information virtually the fraction calculation procedure. The figurer helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

The result:

ane/three * 5 = 5 / 3 = 1 ii / 3 ≅ ane.6666667

Spelled result in words is v thirds (or one and ii thirds).

How do we solve fractions step past stride?

  1. Multiple: 1 / iii * 5 = 1 · 5 / 3 · 1 = 5 / 3
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(5, 3) = 1. In the following intermediate step, information technology cannot further simplify the fraction consequence by canceling.
    In other words - one third multiplied by five is v thirds.

Rules for expressions with fractions:

Fractions - use a forrad slash to carve up the numerator by the denominator, i.eastward., for 5-hundredths, enter 5/100. If you utilise mixed numbers, leave a space between the whole and fraction parts.

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

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/ii + i/3
- minus sign subtraction 1 1/2 - two/iii
* asterisk multiplication 2/three * 3/iv
× times sign multiplication ii/3 × five/6
: partitioning sign division 1/2 : iii
/ division slash division 1/iii / v
: colon circuitous fraction i/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses summate expression inside first -3/v - (-1/4)

The computer follows well-known rules for the club of operations. The well-nigh common mnemonics for remembering this club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Partition, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalisation, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partitioning, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the social club of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.