Fraction calculator

This fraction calculator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-footstep data well-nigh the fraction adding procedure. The computer helps in finding value from multiple fractions operations. Solve problems with ii, iii, or more fractions and numbers in 1 expression.

The result:

2/5 * iii/7 = half-dozen / 35 ≅ 0.1714286

Spelled result in words is six thirty-fifths.

How do we solve fractions step by step?

  1. Multiple: 2 / v * 3 / 7 = two · three / v · 7 = half-dozen / 35
    Multiply both numerators and denominators. Consequence fraction keep to everyman possible denominator GCD(vi, 35) = ane. In the following intermediate step, it cannot farther simplify the fraction result past canceling.
    In other words - two fifths multiplied by three sevenths is 6 thirty-fifths.

Rules for expressions with fractions:

Fractions - use a forrard slash to divide the numerator by the denominator, i.e., 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) continue ane space between the integer and
fraction and use a forrard slash to input fractions i.east., ane 2/3 . An example of a negative mixed fraction: -v 1/two.
Because slash is both signs for fraction line and division, utilize a colon (:) equally the operator of partitioning fractions i.e., 1/2 : 1/iii.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol proper noun Symbol Pregnant Example
+ plus sign addition 1/2 + 1/three
- minus sign subtraction 1 ane/2 - two/3
* asterisk multiplication two/3 * 3/four
× times sign multiplication 2/three × 5/half-dozen
: partitioning sign partition 1/ii : 3
/ partitioning slash division 1/3 / five
: colon complex fraction i/two : ane/three
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside offset -3/five - (-i/iv)

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