Fraction computer

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

The result:

1/2 * 1/4 = one / 8 = 0.125

Spelled result in words is one eighth.

How practice nosotros solve fractions step past step?

  1. Multiple: 1 / two * 1 / four = 1 · 1 / 2 · 4 = 1 / 8
    Multiply both numerators and denominators. Outcome fraction keep to lowest possible denominator GCD(1, viii) = one. In the following intermediate stride, it cannot further simplify the fraction event past canceling.
    In other words - one half multiplied by one quarter is one eighth.

Rules for expressions with fractions:

Fractions - use a forward slash to carve up the numerator past the denominator, i.due east., for 5-hundredths, enter 5/100. If you use mixed numbers, exit a infinite betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep i space betwixt the integer and
fraction and use a forrad slash to input fractions i.e., 1 two/3 . An case of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and segmentation, apply a colon (:) as the operator of division fractions i.e., i/2 : 1/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.due east. one.45.

Math Symbols


Symbol Symbol name Symbol Pregnant Case
+ plus sign addition i/two + i/3
- minus sign subtraction one 1/2 - two/iii
* asterisk multiplication 2/3 * iii/4
× times sign multiplication 2/3 × 5/6
: division sign sectionalisation i/2 : 3
/ sectionalisation slash division one/3 / 5
: colon circuitous fraction 1/2 : one/iii
^ caret exponentiation / ability one/4^three
() parentheses calculate expression inside showtime -3/5 - (-1/4)

The calculator follows well-known rules for the order 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, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Partitioning, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be conscientious; always do multiplication and division before improver and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word issues:

  • Evaluate expression
    Calculate the value of the expression z/three - two z/ix + 1/six, for z = 2
  • Babies
    Ii adults, two children, and 4 babies are on a double-decker. What fraction of the people are babies?
  • In the cafeteria
    In that location are eighteen students in Jacob's homeroom. 6 students bring their lunch to schoolhouse. The rest swallow lunch in the cafeteria. In the simplest course, what fraction of students swallow lunch in the cafeteria?
  • Fraction and a decimal
    Write every bit a fraction and a decimal. One and ii plus iii and 5 hundredths
  • Using money
    Out of 550,000.00 given to a schoolhouse, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • Zdeněk
    Zdeněk picked up 15 l of water from a 100-liter total-h2o barrel. Write a fraction of what part of Zdeněk'southward water he picked.
  • Fruit handbasket
    If in that location are seven apples and five oranges in the basket, what fraction of oranges are in the fruit handbasket?
  • Denominator 2
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • Fractions 80134
    In that location are 420 pupils in the school. Two hundred 50-ii pupils become to the 1st level. Write as a fraction what function of the pupils goes to the 1st grade and what part to the 2nd grade. Shorten both fractions to their bones form.
  • A company
    A visitor has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.
  • The parsley
    Milka's grandmother planted 12 rows of vegetables. one/six of the rows are carrots. The residuum is parsley. How many rows are planted with parsley?

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