Fraction calculator

This fraction reckoner performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed pace-by-step information nigh the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in 1 expression.

The result:

two/3 * 9 = half dozen / ane = vi

Spelled result in words is 6.

How do nosotros solve fractions step by step?

  1. Multiple: ii / 3 * 9 = 2 · ix / 3 · one = xviii / three = 6 · 3 / i · 3 = half dozen
    Multiply both numerators and denominators. Result fraction go on to lowest possible denominator GCD(18, iii) = 3. In the following intermediate step, cancel by a common gene of three gives half-dozen / one .
    In other words - two thirds multiplied past nine is six.

Rules for expressions with fractions:

Fractions - use a frontwards slash to divide the numerator past the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, go out a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite betwixt the integer and
fraction and use a forward slash to input fractions i.e., i 2/3 . An example of a negative mixed fraction: -five 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 : 1/three.
Decimals (decimal numbers) enter with a decimal betoken . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Case
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 1/two - 2/3
* asterisk multiplication 2/3 * iii/4
× times sign multiplication 2/3 × 5/6
: segmentation sign partition ane/2 : three
/ division slash division 1/three / 5
: colon complex fraction one/2 : 1/3
^ caret exponentiation / power 1/iv^3
() parentheses summate expression inside outset -3/5 - (-1/4)

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