Fraction calculator

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

The result:

5/7 = 5 / seven ≅ 0.7142857

Spelled result in words is 5 sevenths.

Rules for expressions with fractions:

Fractions - utilize a forward slash to separate the numerator by the denominator, i.e., for 5-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on one space between the integer and
fraction and utilise a forrad slash to input fractions i.e., 1 ii/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 segmentation fractions i.east., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol name Symbol Pregnant Example
+ plus sign add-on i/2 + ane/3
- minus sign subtraction 1 1/2 - 2/iii
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × v/6
: division sign partitioning 1/ii : 3
/ sectionalization slash division one/3 / 5
: colon complex fraction 1/ii : i/3
^ caret exponentiation / power 1/4^iii
() parentheses calculate expression inside showtime -three/five - (-1/4)

The figurer follows well-known rules for the order of operations. The most common mnemonics for remembering this society of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Gild, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Partitioning, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the club of operations part of the PEMDAS rule.
Be conscientious; always do multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) has the aforementioned priority and then must evaluate from left to right.

Fractions in discussion problems:

  • Babies
    There are two adults, two children, and four babies on a bus. What fraction of the people are babies?
  • A class IV.A
    In a grade, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
  • A subcontract 6
    A farm has 20 animals. There are four chickens. What fraction of the animals are chickens? Express your answer equally a fraction in the simplest form.
  • Someone
    Someone ate 1/10 of a cake, leaving just 9/x. If you consume ii/3 of the cake left, how much of a whole cake volition you have eaten?
  • Lowest terms two
    We tin can write the expression iv/12 in its lowest term as one/three. What is iii/fifteen expressed in its everyman term?
  • Children ix
    In that location are 11 children in a room. 6 of the children are girls. What fraction of the children are girls?
  • A company
    A company has 860 employees, of which 500 are female person. Write a fraction to correspond the female employees in the company.
  • Denominator ii
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are bluish, three pairs are brown, ii are black, and two are white. What fraction of Max's socks are either brown or black?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • Fruit handbasket
    If there are 7 apples and 5 oranges in the handbasket, then what fraction of oranges are there in the fruit basket?

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