Fraction calculator

This calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed step-by-step data about the fraction adding procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

The event:

3/25 = three / 25 = 0.12

Spelled result in words is iii 20-fifths.

Rules for expressions with fractions:

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

Mixed numerals (mixed numbers or fractions) keep ane space between the integer and
fraction and apply a forward slash to input fractions i.e., one 2/3 . An case of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : ane/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.east. 1.45.

Math Symbols


Symbol Symbol proper name Symbol Meaning Example
+ plus sign improver 1/2 + one/3
- minus sign subtraction 1 ane/2 - ii/iii
* asterisk multiplication 2/3 * 3/four
× times sign multiplication 2/3 × 5/6
: division sign sectionalization one/two : 3
/ partitioning slash division ane/3 / 5
: colon circuitous fraction 1/ii : 1/3
^ caret exponentiation / power 1/iv^3
() parentheses calculate expression inside first -3/5 - (-1/four)

The reckoner follows well-known rules for the guild of operations. The most common mnemonics for remembering this gild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Partition, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Segmentation, Addition, Subtraction.
MDAS - Multiplication and Segmentation accept the same precedence over Addition and Subtraction. The MDAS dominion is the social club of operations function of the PEMDAS rule.
Be careful; ever do multiplication and partitioning before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and so must evaluate from left to correct.

Fractions in give-and-take issues:

  • Fraction and a decimal
    Write as a fraction and a decimal. One and two plus 3 and five hundredths
  • A class IV.A
    In a form, at that place are fifteen girls and thirty boys.  What fraction of the course represents the boys?
  • A quarter
    A quarter of the number 72 is:
  • Someone
    Someone ate 1/10 of a block, leaving but 9/10. If y'all eat 2/3 of the cake left, how much of a whole cake volition y'all have eaten?
  • Using coin
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the full amount was used?
  • Max has 2
    Max has thirteen pairs of socks. From this, vi pairs are blue, three pairs are brownish, ii are black, and 2 are white. What fraction of Max'due south socks are either brown or black?
  • Babies
    At that place are two adults, two children, and 4 babies on a bus. What fraction of the people are babies?
  • Everyman terms ii
    We can write the expression 4/12 in its everyman term every bit 1/3. What is three/15 expressed in its lowest term?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • In fractions
    An ant climbs 2/5 of the pole in the commencement hour and climbs one/four of the pole in the side by side hr. What part of the pole does the ant climb in two hours?
  • A visitor
    A visitor has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.

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