Fraction calculator

This fraction computer performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-stride information nigh the fraction adding process. The reckoner helps in finding value from multiple fractions operations. Solve problems with two, 3, or more fractions and numbers in one expression.

The result:

3 * 2/three = two / one = 2

Spelled upshot in words is two.

How do we solve fractions step by step?

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

Rules for expressions with fractions:

Fractions - use a forward slash to split up the numerator by the denominator, i.due east., for five-hundredths, enter 5/100. If y'all use mixed numbers, exit a space between the whole and fraction parts.

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

The calculator follows well-known rules for the order of operations. The about common mnemonics for remembering this society of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Segmentation, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Gild, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS dominion is the society of operations part of the PEMDAS rule.
Be conscientious; ever do multiplication and partition before improver and subtraction. Some operators (+ and -) and (* and /) have the same 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 xiii pairs of socks. From this, six pairs are blue, 3 pairs are dark-brown, two are black, and ii are white. What fraction of Max'south socks are either brown or blackness?
  • A course Iv.A
    In a class, in that location are 15 girls and 30 boys.  What fraction of the class represents the boys?
  • Babies
    Two adults, 2 children, and four babies are on a bus. What fraction of the people are babies?
  • Fruit handbasket
    If there are vii apples and 5 oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • A farm six
    A farm has 20 animals. There are four chickens. What fraction of the animals are chickens? Express your reply as a fraction in the simplest form.
  • In the cafeteria
    At that place are 18 students in Jacob's homeroom. Six students bring their tiffin to school. The rest eat dejeuner in the cafeteria. In the simplest course, what fraction of students consume lunch in the deli?
  • One Sabbatum
    One Saturday evening there are xl girls, 25 boys, xviii women and 17 men at a picture palace. What fraction are girls?
  • Someone
    Someone ate 1/ten of a block, leaving only 9/x. If y'all eat 2/three of the block left, how much of a whole cake will yous take eaten?
  • Andy gets
    Andy gets v out of fifteen questions wrong in his math examination. What fraction of the question does andy answer correctly?
  • Fraction and a decimal
    Write equally a fraction and a decimal. I and 2 plus three and five hundredths

more math problems »