Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-pace data nigh the fraction adding procedure. The computer helps in finding value from multiple fractions operations. Solve issues with two, three, or more fractions and numbers in 1 expression.

The result:

half dozen : (2/3) = nine / one = 9

Spelled result in words is 9.

How practice we solve fractions footstep past pace?

  1. Divide: half-dozen : 2 / 3 = half-dozen / ane · iii / 2 = half-dozen · 3 / i · 2 = eighteen / 2 = 2 · nine / two · ane = 9
    Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to observe the reciprocal (contrary the numerator and denominator, reciprocal of 2 / 3 is 3 / 2 ) of the second fraction. Next, multiply the ii numerators. Then, multiply the 2 denominators. In the following intermediate footstep, cancel past a mutual factor of 2 gives nine / 1 .
    In other words - 6 divided past two thirds is nine.

Rules for expressions with fractions:

Fractions - apply a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If y'all use mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forwards slash to input fractions i.e., 1 ii/3 . An case 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.east., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 one/2 - 2/3
* asterisk multiplication 2/three * 3/four
× times sign multiplication two/three × 5/6
: division sign sectionalisation 1/ii : iii
/ division slash division one/3 / 5
: colon circuitous fraction ane/ii : 1/three
^ caret exponentiation / power ane/4^3
() parentheses calculate expression inside showtime -3/5 - (-1/four)

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