Fraction calculator

This fraction reckoner performs bones and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed step-by-step data about the fraction calculation procedure. The reckoner helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in i expression.

The result:

(1/8) : (ii/3) = 3 / 16 = 0.1875

Spelled issue in words is iii sixteenths.

How do we solve fractions stride by step?

  1. Divide: 1 / viii : ii / 3 = 1 / eight · three / 2 = 1 · 3 / 8 · ii = three / 16
    Dividing 2 fractions is the same as multiplying the start fraction by the reciprocal value of the second fraction. The first sub-step is to notice the reciprocal (reverse the numerator and denominator, reciprocal of 2 / 3 is 3 / two ) of the second fraction. Next, multiply the two numerators. So, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction outcome past canceling.
    In other words - one eighth divided past ii thirds is three sixteenths.

Rules for expressions with fractions:

Fractions - utilise a forrard slash to dissever the numerator past the denominator, i.e., for v-hundredths, enter 5/100. If y'all apply mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) continue one space betwixt the integer and
fraction and use a forward slash to input fractions i.east., i 2/three . An case of a negative mixed fraction: -5 one/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of sectionalisation fractions i.east., 1/2 : 1/three.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. one.45.

Math Symbols


Symbol Symbol proper name Symbol Significant Example
+ plus sign improver ane/2 + i/3
- minus sign subtraction one 1/2 - ii/3
* asterisk multiplication 2/iii * iii/four
× times sign multiplication two/three × v/6
: division sign sectionalization 1/2 : 3
/ division slash sectionalization i/3 / five
: colon complex fraction 1/two : 1/iii
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within first -3/5 - (-one/four)

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