Fraction calculator

This calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology likewise shows detailed stride-by-step data about the fraction adding 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 consequence:

three/4 * 16 = 12 / 1 = 12

Spelled result in words is twelve.

How do we solve fractions stride by step?

  1. Multiple: 3 / iv * 16 = 3 · sixteen / four · one = 48 / 4 = 12 · 4 / i · four = 12
    Multiply both numerators and denominators. Effect fraction continue to lowest possible denominator GCD(48, 4) = 4. In the following intermediate stride, cancel past a common factor of four gives 12 / 1 .
    In other words - three quarters multiplied by sixteen is twelve.

Rules for expressions with fractions:

Fractions - employ a frontwards slash to dissever the numerator by the denominator, i.e., for five-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 space between the integer and
fraction and utilise a forwards slash to input fractions i.e., ane 2/3 . An example of a negative mixed fraction: -5 1/ii.
Because slash is both signs for fraction line and sectionalisation, utilise a colon (:) as the operator of sectionalisation fractions i.e., ane/ii : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.east. 1.45.

Math Symbols


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

The reckoner 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, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalisation, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Add-on, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partitioning, Improver, Subtraction.
MDAS - Multiplication and Sectionalisation accept the same precedence over Addition and Subtraction. The MDAS rule is the order of operations office of the PEMDAS dominion.
Be careful; always practise multiplication and partitioning before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

Fractions in discussion problems:

  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/ix + 1/six, for z = 2
  • Lowest terms two
    We can write the expression iv/12 in its lowest term equally 1/3. What is three/15 expressed in its lowest term?
  • Babies
    There are two adults, ii children, and four babies on a motorcoach. What fraction of the people are babies?
  • The parsley
    Milka'south grandmother planted 12 rows of vegetables. ane/6 of the rows are carrots. The remainder is parsley. How many rows are planted with parsley?
  • One Sabbatum
    One Saturday evening there are 40 girls, 25 boys, xviii women and 17 men at a movie theater. What fraction are girls?
  • Denominator two
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • Fruit basket
    If there are seven apples and 5 oranges in the basket, and then what fraction of oranges are at that place in the fruit basket?
  • In the deli
    There are 18 students in Jacob's homeroom. Six students bring their lunch to schoolhouse. The rest eat dejeuner in the cafeteria. In the simplest form, what fraction of students swallow tiffin in the cafeteria?
  • Someone
    Someone ate 1/10 of a cake, leaving only nine/10. If you eat 2/3 of the cake left, how much of a whole cake will you accept eaten?
  • Fraction and a decimal
    Write as a fraction and a decimal. 1 and ii plus 3 and five hundredths
  • A class IV.A
    In a form, there are 15 girls and 30 boys.  What fraction of the class represents the boys?

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