Fraction calculator

This calculator performs bones and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows detailed step-by-footstep information about the fraction adding procedure. The computer helps in finding value from multiple fractions operations. Solve problems with ii, 3, or more than fractions and numbers in one expression.

The result:

6 * ane/5 = half dozen / v = 1 1 / 5 = i.2

Spelled event in words is six fifths (or ane and one fifth).

How practice we solve fractions step past step?

  1. Multiple: half-dozen * 1 / 5 = vi · 1 / 1 · 5 = 6 / 5
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 5) = 1. In the following intermediate stride, information technology cannot further simplify the fraction outcome past canceling.
    In other words - six multiplied by one 5th is six fifths.

Rules for expressions with fractions:

Fractions - use a forrad slash to carve up the numerator by the denominator, i.e., for v-hundredths, enter five/100. If you use mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on 1 space between the integer and
fraction and use a forward slash to input fractions i.east., one 2/3 . An example of a negative mixed fraction: -five 1/ii.
Because slash is both signs for fraction line and division, utilize a colon (:) as the operator of partition fractions i.eastward., 1/2 : one/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 improver ane/2 + 1/three
- minus sign subtraction 1 1/2 - 2/three
* asterisk multiplication ii/iii * 3/4
× times sign multiplication 2/3 × 5/6
: division sign division 1/2 : three
/ sectionalisation slash sectionalisation 1/three / five
: colon complex fraction 1/2 : 1/iii
^ caret exponentiation / power ane/4^3
() parentheses calculate expression inside first -3/5 - (-1/4)

The calculator follows well-known rules for the order of operations. The most mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Club, Division, Multiplication, Add-on, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division take the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; ever do multiplication and division before improver and subtraction. Some operators (+ and -) and (* and /) has the same priority and so must evaluate from left to right.