Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed step-past-stride data about the fraction calculation procedure. The reckoner helps in finding value from multiple fractions operations. Solve issues with two, three, or more fractions and numbers in 1 expression.

The effect:

iv/5 * 2/3 = 8 / 15 ≅ 0.5333333

Spelled result in words is eight fifteenths.

How do nosotros solve fractions step past pace?

  1. Multiple: 4 / 5 * two / iii = 4 · 2 / 5 · iii = 8 / fifteen
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 15) = i. In the following intermediate step, it cannot further simplify the fraction result past canceling.
    In other words - four fifths multiplied past two thirds is 8 fifteenths.

Rules for expressions with fractions:

Fractions - use a forward slash to carve up the numerator past the denominator, i.due east., for v-hundredths, enter five/100. If yous use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and utilize a forward slash to input fractions i.eastward., 1 ii/iii . An case of a negative mixed fraction: -5 ane/ii.
Because slash is both signs for fraction line and division, apply a colon (:) every bit the operator of sectionalization fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal betoken . and they are automatically converted to fractions - i.east. i.45.

Math Symbols


Symbol Symbol name Symbol Significant Example
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 1/2 - 2/3
* asterisk multiplication ii/three * 3/4
× times sign multiplication 2/3 × 5/half dozen
: sectionalization sign sectionalization one/2 : iii
/ division slash division 1/3 / 5
: colon complex fraction ane/2 : one/3
^ caret exponentiation / power 1/iv^3
() parentheses summate expression inside start -3/v - (-ane/4)

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

Fractions in word problems:

  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/9 + i/6, for z = 2
  • Babies
    Two adults, two children, and iv babies are on a bus. What fraction of the people are babies?
  • In the cafeteria
    There are 18 students in Jacob's homeroom. Six students bring their lunch to schoolhouse. The residue eat lunch in the cafeteria. In the simplest form, what fraction of students eat dejeuner in the cafeteria?
  • Fraction and a decimal
    Write as a fraction and a decimal. One and ii plus three and v hundredths
  • Using coin
    Out of 550,000.00 given to a schoolhouse, an amount of 325,000.00 was used. What fraction of the full amount was used?
  • Zdeněk
    Zdeněk picked upwardly 15 l of water from a 100-liter full-water barrel. Write a fraction of what function of Zdeněk'south water he picked.
  • Fruit basket
    If at that place are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • Denominator 2
    The denominator of a fraction is five, and the numerator is seven. Write the fraction.
  • Fractions 80134
    In that location are 420 pupils in the school. Ii hundred l-two pupils go to the 1st level. Write as a fraction what part of the pupils goes to the 1st grade and what part to the 2nd course. Shorten both fractions to their basic form.
  • A visitor
    A visitor has 860 employees, of which 500 are female person. Write a fraction to stand for the female employees in the company.
  • The parsley
    Milka's grandmother planted 12 rows of vegetables. one/6 of the rows are carrots. The residuum is parsley. How many rows are planted with parsley?

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