Fraction calculator

This fraction computer performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-past-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 separate the numerator past the denominator, i.e., for five-hundredths, enter 5/100. If you lot utilise mixed numbers, leave a infinite betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go along one space between the integer and
fraction and use a forward slash to input fractions i.e., one 2/3 . An example of a negative mixed fraction: -five 1/2.
Because slash is both signs for fraction line and division, use a colon (:) every bit the operator of division fractions i.e., i/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 + one/3
- minus sign subtraction 1 1/2 - 2/3
* asterisk multiplication 2/three * 3/4
× times sign multiplication 2/iii × five/vi
: segmentation sign division ane/2 : three
/ sectionalisation slash sectionalization ane/3 / 5
: colon complex fraction one/ii : 1/iii
^ caret exponentiation / power ane/iv^3
() parentheses summate expression inside first -3/v - (-1/4)

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this guild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Partitioning, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Lodge, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Improver, Subtraction.
MDAS - Multiplication and Partitioning have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations function of the PEMDAS dominion.
Be conscientious; e'er do multiplication and partitioning before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • Fraction to decimal
    Write the fraction 3/22 equally a decimal.
  • Max has 2
    Max has xiii pairs of socks. From this, 6 pairs are blue, three pairs are chocolate-brown, ii are black, and two are white. What fraction of Max'southward socks are either brown or black?
  • A class IV.A
    In a form, there are 15 girls and 30 boys.  What fraction of the grade represents the boys?
  • Babies
    Two adults, two children, and iv babies are on a omnibus. What fraction of the people are babies?
  • Fruit basket
    If there are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • A farm vi
    A farm has 20 animals. There are iv chickens. What fraction of the animals are chickens? Express your answer as a fraction in the simplest class.
  • In the cafeteria
    There are 18 students in Jacob's homeroom. Half dozen students bring their lunch to school. The residual swallow lunch in the cafeteria. In the simplest grade, what fraction of students swallow lunch in the cafeteria?
  • One Saturday
    1 Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a picture palace. What fraction are girls?
  • Simplify 12
    Simplify {1/iii + i/12} ÷ {2/3 - 5/8}
  • Someone
    Someone ate 1/10 of a block, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake volition you have eaten?
  • Fraction and a decimal
    Write equally a fraction and a decimal. One and two plus three and five hundredths

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