Fraction calculator

This calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

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 signs 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

Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
minus sign subtraction 1 1/2 – 2/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × 5/6
: division sign division 1/2 : 3
/ division slash division 1/3 / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate 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 /) has the same priority and then must evaluate from left to right.

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Fractions in word problems:

  • Denominator 2


    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • One Saturday


    One Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Marry


    Marry had 1 1/2 dozen of eggs in the refrigerator. She used 1/3 of the eggs. What part of the eggs used?
  • Babies


    There are two adults, two children, and four babies on a bus. What fraction of the people are babies?
  • A company


    A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.
  • Fraction and a decimal


    Write as a fraction and a decimal. One and two plus three and five hundredths
  • Andy gets


    Andy gets 5 out 15 question wrong in his math test. What fraction of the question does andy answer correctly.
  • Using money


    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • Lowest terms 2


    We can write the expression 4/12 in its lowest term as 1/3. What is 3/15 expressed in its lowest term?
  • Someone


    Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake that is left, how much of a whole cake will you have eaten?
  • Value of Z


    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 end fraction Give your answer to 2 decimal places.

more math problems »