Fraction reckoner

This fraction calculator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed step-by-footstep data virtually the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve bug with two, three, or more fractions and numbers in one expression.

The result:

half-dozen * 1/2 = iii / 1 = 3

Spelled result in words is three.

How practise nosotros solve fractions step past step?

  1. Multiple: 6 * 1 / 2 = six · 1 / 1 · 2 = half dozen / ii = three · 2 / ane · ii = 3
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(vi, two) = 2. In the following intermediate step, cancel by a mutual cistron of two gives iii / 1 .
    In other words - six multiplied by one one-half is three.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.east., for five-hundredths, enter v/100. If yous use mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) continue one space betwixt the integer and
fraction and employ a forwards slash to input fractions i.e., ane 2/3 . An example of a negative mixed fraction: -v 1/ii.
Because slash is both signs for fraction line and division, utilize a colon (:) as the operator of sectionalization fractions i.e., 1/two : i/iii.
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 Significant Example
+ plus sign add-on 1/two + 1/3
- minus sign subtraction 1 1/2 - 2/3
* asterisk multiplication 2/iii * 3/4
× times sign multiplication 2/3 × 5/6
: division sign division i/2 : 3
/ sectionalisation slash sectionalisation one/3 / 5
: colon circuitous fraction 1/2 : one/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within showtime -3/5 - (-1/4)

The computer follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalization, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Sectionalisation, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Improver, Subtraction.
MDAS - Multiplication and Division take the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS dominion.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.

Fractions in discussion problems:

  • In the cafeteria
    There are xviii students in Jacob's homeroom. Half dozen students bring their tiffin to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students consume lunch in the cafeteria?
  • What is 22
    What is 7/21 in simplest course?
  • Denominator 2
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • Fraction and a decimal
    Write as a fraction and a decimal. One and 2 plus three and five hundredths
  • Ane Sabbatum
    One Saturday evening at that place are xl girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Using money
    Out of 550,000.00 given to a schoolhouse, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • A subcontract 6
    A farm has xx animals. In that location are 4 chickens. What fraction of the animals are chickens? Limited your answer equally a fraction in the simplest form.
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • Fractions 80134
    In that location are 420 pupils in the school. Two hundred l-two pupils go to the 1st level. Write as a fraction what office of the pupils goes to the 1st form and what part to the 2nd form. Shorten both fractions to their basic form.
  • Andy gets
    Andy gets 5 out of 15 questions wrong in his math test. What fraction of the question does andy answer correctly?
  • Fruit handbasket
    If at that place are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?

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