Fraction calculator

This fraction computer performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows detailed step-by-step information about the fraction calculation procedure. The figurer helps in finding value from multiple fractions operations. Solve problems with ii, three, or more fractions and numbers in one expression.

The result:

i/3 * 1/2 = 1 / 6 ≅ 0.1666667

Spelled effect in words is one sixth.

How do we solve fractions step by step?

  1. Multiple: 1 / iii * 1 / 2 = 1 · 1 / three · two = 1 / 6
    Multiply both numerators and denominators. Effect fraction continue to lowest possible denominator GCD(i, 6) = 1. In the following intermediate stride, it cannot further simplify the fraction result by canceling.
    In other words - one tertiary multiplied by one half is ane sixth.

Rules for expressions with fractions:

Fractions - use a forwards slash to divide the numerator past the denominator, i.e., for 5-hundredths, enter v/100. If you apply mixed numbers, leave a space betwixt the whole and fraction parts.

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

The calculator follows well-known rules for the guild of operations. The nearly common mnemonics for remembering this club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Sectionalisation, Multiplication, Improver, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Improver and Subtraction. The MDAS rule is the club of operations role of the PEMDAS dominion.
Be conscientious; always do multiplication and partition earlier improver and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • Fraction to decimal
    Write the fraction three/22 as a decimal.
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are bluish, three pairs are brown, two are black, and 2 are white. What fraction of Max's socks are either brown or black?
  • A quarter
    A quarter of the number 72 is:
  • In fractions
    An emmet climbs 2/five of the pole in the first hour and climbs ane/four of the pole in the next hour. What part of the pole does the pismire climb in ii hours?
  • Denominator 2
    The denominator of a fraction is v, and the numerator is 7. Write the fraction.
  • In the cafeteria
    At that place are xviii students in Jacob's homeroom. Six students bring their dejeuner to school. The remainder eat lunch in the cafeteria. In the simplest grade, what fraction of students eat lunch in the cafeteria?
  • A form IV.A
    In a class, in that location are 15 girls and 30 boys.  What fraction of the form represents the boys?
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 end fraction Give your reply to 2 decimal places.
  • Children 9
    There are xi children in a room. Half-dozen of the children are girls. What fraction of the children are girls?
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • Fruit basket
    If there are seven apples and 5 oranges in the basket, what fraction of oranges are in the fruit handbasket?

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