This fraction estimator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-footstep 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 1 expression.

Rules for expressions with fractions:

Fractions
– use a forward slash to split up the numerator by the denominator, i.e., for 5-hundredths, enter
v/100. If you use mixed numbers, leave a space betwixt the whole and fraction parts.

Mixed numerals
(mixed numbers or fractions) keep one space between the integer and
fraction and utilise a forward slash to input fractions i.due east.,
1 2/three
. An case of a negative mixed fraction:
-5 one/2.
Because slash is both signs for fraction line and sectionalisation, apply a colon (:) as the operator of division fractions i.east.,
1/ii : 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/two + ane/3
minus sign subtraction 1 1/2 – two/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/iii × five/half dozen
: division sign division 1/ii : 3
/ division slash division 1/three / 5
: colon complex fraction 1/ii : 1/3
^ caret exponentiation / power one/iv^three
() parentheses calculate expression within first -3/5 – (-1/4)

The reckoner follows well-known rules for
the club of operations. The nigh common mnemonics for remembering this order of operations are:
PEMDAS
– Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS
– Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS
– Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS
– Grouping Symbols – brackets (){}, Exponents, Multiplication, Partitioning, Addition, Subtraction.
MDAS
– Multiplication and Division have the same precedence over Improver and Subtraction. The MDAS dominion is the club of operations office of the PEMDAS rule.
Be careful; always do
multiplication and partition
before
add-on and subtraction. Some operators (+ and -) and (* and /) accept the same priority and must evaluate from left to right.

Fractions in word problems:

  • Fraction to decimal


    Write the fraction three/22 every bit a decimal.
  • Max has 2


    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brownish, two are black, and two are white. What fraction of Max’due south socks are either brownish or blackness?
  • A course IV.A


    In a class, there are 15 girls and thirty boys.  What fraction of the form represents the boys?
  • Babies


    Two adults, two children, and four babies are on a motorbus. 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 handbasket?
  • A subcontract half-dozen


    A farm has 20 animals. There are iv chickens. What fraction of the animals are chickens? Express your respond as a fraction in the simplest grade.
  • In the cafeteria


    There are 18 students in Jacob’s homeroom. Half dozen students bring their lunch to school. The rest consume lunch in the cafeteria. In the simplest form, what fraction of students eat tiffin in the cafeteria?
  • One Saturday


    One Saturday evening there are 40 girls, 25 boys, eighteen women and 17 men at a movie house. What fraction are girls?
  • Simplify 12


    Simplify {one/three + 1/12} ÷ {2/3 – 5/8}
  • Someone


    Someone ate ane/10 of a cake, leaving merely ix/x. If you consume ii/3 of the cake left, how much of a whole cake volition you accept eaten?
  • Andy gets


    Andy gets 5 out of 15 questions incorrect in his math test. What fraction of the question does andy answer correctly?

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