Calculator complex fractions



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.

5/8 : 2 2/3 = 15/64 = 0.234375

Spelled result in words is fifteen sixty-fourths.

How do you solve fractions step by step?

  1. Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3 = 6 + 2/3 = 8/3

    To find new numerator:
    a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
    b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
    c) Write a previous answer (new numerator 8) over the denominator 3.

    Two and two thirds is eight thirds
  2. Divide: 5/8 : 8/3 = 5/8 · 3/8 = 5 · 3/8 · 8 = 15/64
    Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.
    In words - five eighths divided by eight thirds = fifteen sixty-fourths.

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:

  • Chestnuts
    vaha Three divisions of nature protectors participated in the collection of chestnut trees.1. the division harvested 1250 kg, the 2nd division by a fifth more than the 1st division and the 3rd division by a sixth more than the second division. How many tons of
  • Fractions 4
    fractions_14 How many 2/3s are in 6?
  • Ten fractions
    tenfrac Write ten fractions between 1/3 and 2/3
  • Product of two fractions
    numbers_47 Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction.
  • Equivalent fractions 2
    plusminus_1 Write the equivalent multiplication expression. 2 1/6÷3/4
  • Numbers division
    fractions With what number should be divided mixed number 2 3/4 to get 11/12?
  • Two divided
    fractions14 Two divided by nine-tenths.
  • A quotient
    fractions_2 What is the quotient of 3/10 divided by 2/4 as a fraction?
  • Reciprocals
    reciprocal Which among the given reciprocal is correct a. 3/15x1/3= 1 b. 3/20x20/3=1 c. 7/14x7/7=1 d. 34/3x34/34=1
  • Milimeters
    meter How many millimeters are 1/4 meters?
  • Lemonade
    lemonade How many 1/4 cup servings are in 2 and 1/3 cups of lemonade?
  • 4/5 of
    frame 4/5 of a number is 276. what is 2/3 of the same number?
  • The quotient
    12466 The quotient of g and 55 is the same as 279. What is g?


next math problems »