Fraction calculator

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

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.east., for five-hundredths, enter 5/100. If you use mixed numbers, go out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and utilize a frontward slash to input fractions i.eastward., 1 2/3 . An instance of a negative mixed fraction: -5 1/two.
Considering slash is both signs for fraction line and sectionalization, use a colon (:) every bit the operator of segmentation fractions i.e., 1/two : one/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 improver 1/2 + i/three
- minus sign subtraction i 1/ii - ii/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × five/6
: division sign sectionalisation one/2 : 3
/ division slash segmentation 1/iii / five
: colon circuitous fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within first -iii/5 - (-1/iv)

The figurer follows well-known rules for the social club of operations. The about mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Club, Partitioning, Multiplication, Add-on, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Segmentation have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always practice multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) take the aforementioned priority and must evaluate from left to correct.

Fractions in word issues:

  • In fractions
    An ant climbs 2/5 of the pole in the commencement hour and climbs i/four of the pole in the next hour. What function of the pole does the emmet climb in two hours?
  • In the cafeteria
    In that location are 18 students in Jacob'southward homeroom. Six students bring their luncheon to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students swallow lunch in the deli?
  • Someone
    Someone ate 1/x of a cake, leaving simply ix/x. If yous eat two/iii of the cake left, how much of a whole block volition you accept eaten?
  • A quarter
    A quarter of the number 72 is:
  • Lowest terms 2
    We can write the expression 4/12 in its lowest term as 1/3. What is 3/15 expressed in its everyman term?
  • Evaluate expression
    Summate the value of the expression z/three - 2 z/9 + 1/vi, for z = 2
  • One Saturday
    One Saturday evening in that location are 40 girls, 25 boys, 18 women and 17 men at a movie theater. What fraction are girls?
  • Babies
    2 adults, ii 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?
  • Denominator 2
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • The parsley
    Milka'south grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?

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