Fraction computer

This fraction calculator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It besides shows detailed pace-past-step information about the fraction calculation procedure. The reckoner helps in finding value from multiple fractions operations. Solve problems with 2, 3, or more than fractions and numbers in ane expression.

The result:

(ane/8) : (i/12) = three / two = 1 i / ii = 1.5

Spelled issue in words is 3 halfs (or one and i half).

How practise we solve fractions step by step?

  1. Split: one / 8 : 1 / 12 = i / 8 · 12 / one = 1 · 12 / 8 · ane = 12 / 8 = 4 · 3 / 4 · two = 3 / 2
    Dividing 2 fractions is the aforementioned every bit multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1 / 12 is 12 / i ) of the 2d fraction. Next, multiply the ii numerators. Then, multiply the two denominators. In the following intermediate step, abolish past a mutual cistron of 4 gives 3 / 2 .
    In other words - 1 eighth divided by one twelfth is three halfs.

Rules for expressions with fractions:

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

Math Symbols


Symbol Symbol proper name Symbol Meaning Example
+ plus sign addition one/ii + i/3
- minus sign subtraction 1 1/ii - 2/3
* asterisk multiplication ii/iii * 3/4
× times sign multiplication 2/iii × 5/6
: division sign partition 1/2 : 3
/ division slash sectionalisation ane/3 / 5
: colon circuitous fraction 1/ii : 1/3
^ caret exponentiation / ability i/4^3
() parentheses calculate expression within outset -3/5 - (-1/iv)

The calculator follows well-known rules for the club of operations. The most common mnemonics for remembering this guild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Gild, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partitioning, Improver, Subtraction.
MDAS - Multiplication and Partition have the same precedence over Add-on and Subtraction. The MDAS rule is the social club of operations office of the PEMDAS rule.
Be careful; e'er exercise multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) accept the same priority and must evaluate from left to right.