Fraction computer

This fraction estimator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed step-by-step information about the fraction calculation procedure. The reckoner helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

The consequence:

4 * 3/4 = 3 / 1 = iii

Spelled result in words is three.

How practise we solve fractions step by step?

  1. Multiple: 4 * iii / 4 = 4 · iii / i · 4 = 12 / iv = iii · 4 / 1 · 4 = 3
    Multiply both numerators and denominators. Consequence fraction go on to lowest possible denominator GCD(12, iv) = four. In the following intermediate step, cancel past a common gene of 4 gives 3 / 1 .
    In other words - four multiplied by three quarters is iii.

Rules for expressions with fractions:

Fractions - apply a frontwards slash to divide the numerator by the denominator, i.east., for five-hundredths, enter five/100. If you use mixed numbers, leave a space betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) proceed one space betwixt the integer and
fraction and apply a forrard slash to input fractions i.e., ane 2/3 . An instance of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and sectionalisation, use a colon (:) equally the operator of partition fractions i.e., 1/2 : ane/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.e. i.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition i/2 + ane/three
- minus sign subtraction 1 1/2 - 2/three
* asterisk multiplication ii/3 * 3/4
× times sign multiplication 2/three × five/six
: sectionalization sign partitioning ane/two : iii
/ partition slash division ane/3 / 5
: colon complex fraction one/2 : 1/3
^ caret exponentiation / ability 1/4^3
() parentheses summate expression inside first -3/5 - (-1/4)

The reckoner follows well-known rules for the order of operations. The nearly common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Club, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Improver and Subtraction. The MDAS dominion is the order of operations part of the PEMDAS rule.
Exist careful; always practice multiplication and sectionalisation before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in word bug:

  • A quarter
    A quarter of the number 72 is:
  • Evaluate expression
    Summate the value of the expression z/three - 2 z/9 + 1/6, for z = 2
  • Denominator two
    The denominator of a fraction is v, and the numerator is 7. Write the fraction.
  • Someone
    Someone ate 1/10 of a block, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole block will you have eaten?
  • A class 4.A
    In a class, there are xv girls and thirty boys.  What fraction of the grade represents the boys?
  • Children 9
    At that place are xi children in a room. Six of the children are girls. What fraction of the children are girls?
  • A company
    A visitor has 860 employees, of which 500 are female person. Write a fraction to stand for the female employees in the company.
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • Fruit basket
    If there are 7 apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • In the deli
    There are 18 students in Jacob's homeroom. Half dozen students bring their tiffin to school. The residue swallow lunch in the deli. In the simplest form, what fraction of students swallow luncheon in the cafeteria?
  • Fractions 80134
    At that place are 420 pupils in the school. Ii hundred fifty-two pupils go to the 1st level. Write every bit a fraction what office of the pupils goes to the 1st grade and what part to the 2nd grade. Shorten both fractions to their basic course.

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