text: # Fraction calculator
  
  This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step informations.
  
  ## The result:
  
  ### 73/8 * 11/2 = 177/16 = 11 1/16 = 11.0625
  
  The spelled result in words is one hundred seventy-seven sixteenths (or eleven and one sixteenth).
  
  ### How do we solve fractions step by step?
  
  1. Conversion a mixed number 7 3/8 to a improper fraction: 7 3/8 = 7 3/8 = 7 · 8 + 3/8 = 56 + 3/8 = 59/8
  
  To find a new numerator:
  a) Multiply the whole number 7 by the denominator 8. Whole number 7 equally 7 * 8/8 = 56/8
  b) Add the answer from the previous step 56 to the numerator 3. New numerator is 56 + 3 = 59
  c) Write a previous answer (new numerator 59) over the denominator 8.
  
  Seven and three eighths is fifty-nine eighths.
  2. Conversion a mixed number 1 1/2 to a improper fraction: 1 1/2 = 1 1/2 = 1 · 2 + 1/2 = 2 + 1/2 = 3/2
  
  To find a new numerator:
  a) Multiply the whole number 1 by the denominator 2. Whole number 1 equally 1 * 2/2 = 2/2
  b) Add the answer from the previous step 2 to the numerator 1. New numerator is 2 + 1 = 3
  c) Write a previous answer (new numerator 3) over the denominator 2.
  
  One and one half is three halfs.
  3. Multiple: 59/8 * 3/2 = 59 · 3/8 · 2 = 177/16
  Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(177, 16) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
  In other words - fifty-nine eighths multiplied by three halfs is one hundred seventy-seven sixteenths.
  
  ### Rules for expressions with fractions:
  
  Fractions - use a forward 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) keep one space 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 1/2.
  Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 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
  
  SymbolSymbol nameSymbol MeaningExample
  -minus signsubtraction 1 1/2 - 2/3
  *asteriskmultiplication 2/3 * 3/4
  ×times signmultiplication 2/3 × 5/6
  :division signdivision 1/2 : 3
  /division slashdivision 1/3 / 5
  :coloncomplex fraction 1/2 : 1/3
  ^caretexponentiation / power 1/4^3
  ()parenthesescalculate expression inside first-3/5 - (-1/4)
  
  The calculator 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, Addition, Subtraction.
  BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
  BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
  GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
  MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
  Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left to right.