Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed step-by-step data virtually the fraction adding process. The calculator helps in finding value from multiple fractions operations. Solve bug with two, three, or more fractions and numbers in i expression.

The result:

1/3 * 1/4 = 1 / 12 ≅ 0.08333333

Spelled result in words is one twelfth.

How do we solve fractions step by pace?

  1. Multiple: 1 / 3 * ane / 4 = 1 · 1 / 3 · 4 = 1 / 12
    Multiply both numerators and denominators. Outcome fraction keep to lowest possible denominator GCD(1, 12) = 1. In the following intermediate step, information technology cannot further simplify the fraction result past canceling.
    In other words - ane third multiplied by one quarter is one twelfth.

Rules for expressions with fractions:

Fractions - utilise a forward slash to split up the numerator by the denominator, i.e., for 5-hundredths, enter 5/100. If you apply mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) proceed ane space betwixt the integer and
fraction and utilize a forrard slash to input fractions i.e., i 2/iii . An example of a negative mixed fraction: -5 ane/2.
Because slash is both signs for fraction line and sectionalization, use a colon (:) as the operator of sectionalisation fractions i.eastward., ane/two : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol proper name Symbol Significant Example
+ plus sign improver 1/2 + i/3
- minus sign subtraction one 1/2 - 2/3
* asterisk multiplication 2/3 * iii/4
× times sign multiplication 2/iii × 5/6
: division sign division one/ii : iii
/ sectionalisation slash division 1/3 / five
: colon complex fraction ane/2 : i/3
^ caret exponentiation / power one/iv^3
() parentheses calculate expression inside commencement -3/5 - (-i/4)

The calculator follows well-known rules for the guild of operations. The well-nigh mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalization, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Segmentation, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Social club, Partitioning, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Segmentation, Addition, Subtraction.
MDAS - Multiplication and Division take the same precedence over Addition and Subtraction. The MDAS rule is the order of operations office of the PEMDAS rule.
Be careful; e'er do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) accept the aforementioned priority and must evaluate from left to right.