Calculator compound fraction



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.

3/4 * 5/7 = 15/28 ≅ 0.5357143

Spelled result in words is fifteen twenty-eighths.

How do you solve fractions step by step?

  1. Multiple: 3/4 * 5/7 = 3 · 5/4 · 7 = 15/28
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(15, 28) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
    In words - three quarters multiplied by five sevenths = fifteen twenty-eighths.

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

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:

  • Equivalent fractions
    equivalent-fractions Are these two fractions equivalent -4/9 and 11/15?
  • Multiplying fractions
    fractions What is 1/3 of 5?
  • Fractions 3
    fractions_9 Calculate 1/9 of 27:
  • Compare
    fraction Compare fractions ?. Which fraction of the lower?
  • Write 3
    plusminus Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
  • Equivalent fractions 2
    plusminus_1 Write the equivalent multiplication expression. 2 1/6÷3/4
  • Cake fractions
    dort Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5. What fraction of cake left over for others?
  • Two divided
    fractions14 Two divided by nine tenths.
  • The number 4
    numbers_4 Two-thirds of a number is negative six. Find the number.
  • Milimeters
    meter How many millimeters is 1/4 meters?
  • Seeds
    klicenie Of the 72 wet seeds 7/8 germinated. How many seeds germinate?
  • The kennel
    cat 20 dogs. Ratio dogs to cats is 3:2  how many cats?
  • Classroom 4
    skola_1 In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys?


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