Fraction calculator

This fraction calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information nigh 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 one expression.

The effect:

3/4 * half dozen = 9 / ii = 4 one / ii = 4.5

Spelled result in words is nine halfs (or iv and 1 half).

How practise we solve fractions pace by stride?

  1. Multiple: 3 / 4 * 6 = 3 · 6 / 4 · 1 = xviii / four = ix · two / 2 · two = 9 / ii
    Multiply both numerators and denominators. Issue fraction go on to everyman possible denominator GCD(18, 4) = 2. In the following intermediate stride, cancel by a common cistron of 2 gives 9 / two .
    In other words - iii quarters multiplied by half dozen is nine halfs.

Rules for expressions with fractions:

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

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

Math Symbols


Symbol Symbol proper noun Symbol Meaning Case
+ plus sign addition i/2 + i/3
- minus sign subtraction 1 one/two - 2/three
* asterisk multiplication 2/3 * 3/four
× times sign multiplication two/3 × 5/6
: division sign division 1/2 : 3
/ division slash division one/iii / five
: colon complex fraction 1/two : ane/three
^ caret exponentiation / ability i/4^three
() parentheses calculate expression inside first -iii/5 - (-i/4)

The estimator follows well-known rules for the gild of operations. The most 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 Gild, Division, Multiplication, Add-on, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Improver, Subtraction.
MDAS - Multiplication and Partitioning have 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 aforementioned priority and must evaluate from left to right.

Fractions in give-and-take problems:

  • A quarter
    A quarter of the number 72 is:
  • Max has two
    Max has 13 pairs of socks. From this, six pairs are blue, 3 pairs are dark-brown, ii are black, and two are white. What fraction of Max'south socks are either brown or blackness?
  • Fraction to decimal
    Write the fraction iii/22 every bit a decimal.
  • Children ix
    There are 11 children in a room. Six of the children are girls. What fraction of the children are girls?
  • Babies
    Ii adults, ii children, and four babies are on a double-decker. What fraction of the people are babies?
  • Fruit basket
    If there are 7 apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • Someone
    Someone ate 1/10 of a block, leaving just 9/10. If yous consume two/3 of the cake left, how much of a whole cake will yous have eaten?
  • A class Iv.A
    In a grade, there are fifteen girls and 30 boys.  What fraction of the course represents the boys?
  • Fraction and a decimal
    Write every bit a fraction and a decimal. One and two plus three and five hundredths
  • Mathew
    Mathew has eight pencils. Three of them do not take erasers on cease. What fraction of the pencils do not have erasers on finish?
  • Using money
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the full corporeality was used?

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