Fraction calculator

This fraction calculator performs bones 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 bug with two, 3, or more fractions and numbers in one expression.

The result:

4 * 3/4 = 3 / 1 = 3

Spelled effect in words is three.

How do nosotros solve fractions stride past step?

  1. Multiple: 4 * 3 / 4 = 4 · 3 / ane · iv = 12 / 4 = iii · 4 / i · 4 = 3
    Multiply both numerators and denominators. Result fraction keep to everyman possible denominator GCD(12, 4) = 4. In the following intermediate step, abolish by a mutual factor of 4 gives 3 / 1 .
    In other words - four multiplied past three quarters is 3.

Rules for expressions with fractions:

Fractions - use a forrard slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, exit a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on one space between the integer and
fraction and utilise a forward slash to input fractions i.e., i 2/iii . An instance of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and partition, use a colon (:) as the operator of division fractions i.east., 1/2 : i/three.
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 Significant Example
+ plus sign addition 1/ii + 1/3
- minus sign subtraction 1 1/2 - ii/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × v/6
: division sign division 1/2 : 3
/ partition slash division 1/iii / 5
: colon circuitous fraction 1/2 : 1/three
^ caret exponentiation / ability 1/4^three
() parentheses calculate expression inside offset -iii/5 - (-ane/four)

The calculator follows well-known rules for the gild of operations. The most common mnemonics for remembering this guild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Add-on, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Add-on, Subtraction.
MDAS - Multiplication and Division have the aforementioned precedence over Improver and Subtraction. The MDAS rule is the guild of operations part of the PEMDAS rule.
Exist careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in word problems:

  • A class IV.A
    In a class, there are xv girls and 30 boys.  What fraction of the class represents the boys?
  • Fruit handbasket
    If in that location are vii apples and v oranges in the basket, what fraction of oranges are in the fruit handbasket?
  • Lowest terms 2
    We can write the expression 4/12 in its everyman term as 1/3. What is iii/xv expressed in its lowest term?
  • Zdeněk
    Zdeněk picked up 15 l of water from a 100-liter total-water barrel. Write a fraction of what part of Zdeněk's water he picked.
  • A company
    A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the visitor.
  • One Saturday
    Ane Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Using money
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • Marry
    Ally had 1 1/2 dozen eggs in the refrigerator. She used 1/three of the eggs. What part of the eggs was used?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • Babies
    Two adults, two children, and iv babies are on a motorbus. What fraction of the people are babies?
  • In fractions
    An ant climbs 2/5 of the pole in the get-go hour and climbs 1/four of the pole in the next 60 minutes. What part of the pole does the pismire climb in ii hours?

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