Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed stride-by-step information near the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, iii, or more fractions and numbers in one expression.

The event:

(1/ii) : (1/4) = 2 / i = 2

Spelled upshot in words is two.

How do we solve fractions step past step?

  1. Divide: 1 / 2 : i / 4 = one / two · 4 / i = ane · iv / 2 · 1 = 4 / 2 = 2 · ii / two · i = 2
    Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the 2d fraction. The first sub-step is to notice the reciprocal (reverse the numerator and denominator, reciprocal of 1 / 4 is 4 / 1 ) of the second fraction. Side by side, multiply the two numerators. So, multiply the 2 denominators. In the following intermediate step, cancel by a common factor of 2 gives 2 / 1 .
    In other words - ane half divided by one quarter is two.

Rules for expressions with fractions:

Fractions - use a forward slash to carve up the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you lot use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep ane infinite between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 ane/ii.
Because slash is both signs for fraction line and division, utilize a colon (:) as the operator of division fractions i.due east., ane/2 : 1/iii.
Decimals (decimal numbers) enter with a decimal bespeak . and they are automatically converted to fractions - i.eastward. 1.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign addition one/ii + i/3
- minus sign subtraction 1 one/two - 2/iii
* asterisk multiplication ii/3 * three/iv
× times sign multiplication 2/three × 5/half dozen
: segmentation sign partitioning 1/two : 3
/ division slash segmentation 1/3 / v
: colon circuitous fraction 1/two : 1/iii
^ caret exponentiation / power 1/iv^3
() parentheses calculate expression within commencement -iii/five - (-1/4)

The calculator follows well-known rules for the order of operations. The nearly common mnemonics for remembering this guild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Gild, Partitioning, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partition, Addition, Subtraction.
MDAS - Multiplication and Division have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the club of operations part of the PEMDAS rule.
Be conscientious; ever do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to correct.