text: Fraction calculator
  
  The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
  
  Result:
  
  2/5^3 = 8/125 = 0.064
  
  Spelled result in words is eight one-hundred twenty-fifths.
  
  How do you solve fractions step by step?
  
  1. Exponentiation: 2/5 ^ 3 = 23/53 = 8/125
  
  In words - two fifths cubed = eight one-hundred twenty-fifths.
  
  Rules for expressions with fractions:
  
  Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
  The slash separates the numerator (number above a fraction line) and denominator (number below).
  
  Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
  Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
  
  Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
  
  The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
  An asterisk * or × is the symbol for multiplication.
  Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
  The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
  
  Examples:
  
  subtracting fractions: 2/3 - 1/2
  multiplying fractions: 7/8 * 3/9
  dividing Fractions: 1/2 : 3/4
  exponentiation of fraction: 3/5^3
  fractional exponents: 16 ^ 1/2
  adding fractions and mixed numbers: 8/5 + 6 2/7
  dividing integer and fraction: 5 ÷ 1/2
  complex fractions: 5/8 : 2 2/3
  decimal to fraction: 0.625
  Fraction to Decimal: 1/4
  Fraction to Percent: 1/8 %
  comparing fractions: 1/4 2/3
  multiplying a fraction by a whole number: 6 * 3/4
  square root of a fraction: sqrt(1/16)
  reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22
  expression with brackets: 1/3 * (1/2 - 3 3/8)
  compound fraction: 3/4 of 5/7
  fractions multiple: 2/3 of 3/5
  divide to find the quotient: 3/5 ÷ 2/3
  
  The calculator follows well-known rules for 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.
  Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.
  
  Fractions in word problems:
  
  • Simplest form
  Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power.
  • Recipe 2
  Anna's making muffins! These ingredients make 12 muffins: 3/4 cup of flower 1/2 cup of sugar 1/4 teaspoon salt 1 cup of milk 1/3 teaspoon cinnamon 7 tablespoons butter 2 teaspoons baking power 1 egg 2 tablespoons brown sugar Anna has a 8 muffin tray. What
  • Three machines
  The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?
  • Two xeroxes
  The performances of the two copiers are in the ratio 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?
  • A tile
  A tile setter is covering 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in square. How many rows of tile are needed to reach 5ft? How many tiles are needed to cover 5ft by 5ft square
  • Seawater
  Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
  • BMI index
  Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 71 kg and height h = 170 cm. The index is calculated according to equation (formula): BMI = (m)/(h2) With BMI index is possible to compa