Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It too shows detailed footstep-past-step data about the fraction calculation process. The calculator helps in finding value from multiple fractions operations. Solve bug with two, three, or more fractions and numbers in ane expression.

Rules for expressions with fractions:

Fractions - apply a forward slash to split up the numerator by the denominator, i.eastward., 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) keep one infinite betwixt the integer and
fraction and employ a forward slash to input fractions i.e., 1 ii/three . An example of a negative mixed fraction: -five ane/ii.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., ane/two : 1/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.e. ane.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 1/two - 2/3
* asterisk multiplication 2/iii * 3/4
× times sign multiplication 2/3 × five/6
: division sign division 1/2 : 3
/ partitioning slash sectionalisation ane/three / v
: colon complex fraction 1/2 : 1/three
^ caret exponentiation / power 1/four^iii
() parentheses summate expression inside first -three/five - (-one/four)

The figurer follows well-known rules for the gild of operations. The almost mutual mnemonics for remembering this social club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Partition, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Sectionalization, Addition, Subtraction.
MDAS - Multiplication and Partition accept the same precedence over Addition and Subtraction. The MDAS rule is the lodge of operations role of the PEMDAS rule.
Be careful; ever exercise multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • In fractions
    An ant climbs 2/v of the pole in the first 60 minutes and climbs 1/four of the pole in the next 60 minutes. What part of the pole does the ant climb in two hours?
  • A quarter
    A quarter of the number 72 is:
  • Evaluate expression
    Calculate the value of the expression z/three - ii z/9 + 1/half-dozen, for z = two
  • Everyman terms 2
    Nosotros can write the expression 4/12 in its lowest term as 1/3. What is iii/15 expressed in its lowest term?
  • The parsley
    Milka's grandmother planted 12 rows of vegetables. 1/half dozen of the rows are carrots. The remainder is parsley. How many rows are planted with parsley?
  • 1 Saturday
    One Saturday evening there are xl girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Babies
    Two adults, ii children, and four babies are on a passenger vehicle. What fraction of the people are babies?
  • Fruit basket
    If there are seven apples and five oranges in the basket, 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.
  • In the deli
    There are 18 students in Jacob'due south homeroom. Six students bring their lunch to school. The residual eat tiffin in the cafeteria. In the simplest course, what fraction of students eat lunch in the cafeteria?
  • Someone
    Someone ate 1/10 of a cake, leaving only ix/10. If you consume 2/3 of the cake left, how much of a whole cake will you have eaten?

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