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-stride data nigh the fraction calculation procedure. The figurer helps in finding value from multiple fractions operations. Solve issues with two, three, or more fractions and numbers in one expression.

The result:

(3/four) : (1/8) = 6 / ane = 6

Spelled result in words is six.

How do we solve fractions step by pace?

  1. Dissever: 3 / iv : one / 8 = iii / 4 · eight / 1 = three · viii / 4 · 1 = 24 / 4 = 4 · 6 / 4 · 1 = 6
    Dividing two fractions is the aforementioned as multiplying the first fraction by the reciprocal value of the 2d fraction. The showtime sub-step is to observe the reciprocal (reverse the numerator and denominator, reciprocal of 1 / eight is 8 / 1 ) of the 2d fraction. Next, multiply the ii numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common gene of 4 gives 6 / one .
    In other words - three quarters divided past one 8th is six.

Rules for expressions with fractions:

Fractions - utilise a forrard slash to divide the numerator by the denominator, i.due east., for five-hundredths, enter 5/100. If you use 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 use a frontwards slash to input fractions i.east., 1 ii/3 . An instance of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and sectionalisation, utilize a colon (:) as the operator of sectionalization fractions i.east., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol proper noun Symbol Significant Case
+ plus sign addition 1/2 + 1/iii
- minus sign subtraction 1 i/2 - ii/three
* asterisk multiplication 2/iii * three/4
× times sign multiplication 2/3 × 5/6
: sectionalisation sign sectionalization 1/2 : iii
/ partitioning slash division 1/three / v
: colon complex fraction 1/2 : one/iii
^ caret exponentiation / power one/iv^three
() parentheses calculate expression inside starting time -3/five - (-1/four)

The calculator follows well-known rules for the order of operations. The virtually mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalisation, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Partition, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Segmentation, Improver, Subtraction.
MDAS - Multiplication and Division accept the aforementioned precedence over Addition and Subtraction. The MDAS dominion is the order of operations part of the PEMDAS dominion.
Be conscientious; always do multiplication and segmentation earlier addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.