Fraction calculator

This fraction calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve bug with two, three, or more fractions and numbers in one expression.

The result:

3/4 * 1/6 = ane / 8 = 0.125

Spelled outcome in words is ane eighth.

How do we solve fractions step past step?

  1. Multiple: iii / 4 * one / 6 = iii · 1 / 4 · 6 = 3 / 24 = 1 · 3 / 8 · 3 = one / 8
    Multiply both numerators and denominators. Result fraction go along to lowest possible denominator GCD(three, 24) = 3. In the following intermediate footstep, cancel by a common factor of iii gives 1 / 8 .
    In other words - three quarters multiplied by one 6th is one eighth.

Rules for expressions with fractions:

Fractions - use a forward slash to split up 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 space between the integer and
fraction and use a forwards slash to input fractions i.e., 1 2/iii . An example of a negative mixed fraction: -v 1/2.
Because slash is both signs for fraction line and division, use a colon (:) equally the operator of division fractions i.e., i/2 : i/3.
Decimals (decimal numbers) enter with a decimal bespeak . and they are automatically converted to fractions - i.eastward. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition one/2 + i/3
- minus sign subtraction 1 i/2 - 2/3
* asterisk multiplication 2/3 * iii/4
× times sign multiplication 2/iii × v/6
: sectionalization sign division ane/ii : 3
/ partition slash sectionalisation 1/three / 5
: colon circuitous fraction one/2 : one/3
^ caret exponentiation / power one/4^3
() parentheses calculate expression inside first -3/five - (-1/4)

The calculator 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, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Segmentation, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Segmentation, Improver, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the social club of operations function of the PEMDAS rule.
Exist careful; ever do multiplication and partition before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.