Fraction calculator

This fraction reckoner performs bones and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-footstep information nigh the fraction calculation procedure. The computer helps in finding value from multiple fractions operations. Solve issues with two, iii, or more fractions and numbers in ane expression.

The effect:

7/20 = 7 / 20 = 0.35

Spelled upshot in words is seven twentieths.

Rules for expressions with fractions:

Fractions - employ a forward slash to divide the numerator by the denominator, i.e., for v-hundredths, enter 5/100. If you use mixed numbers, get out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep ane space between the integer and
fraction and apply a forrard slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, utilise a colon (:) equally the operator of sectionalisation fractions i.e., 1/2 : i/3.
Decimals (decimal numbers) enter with a decimal betoken . and they are automatically converted to fractions - i.due east. one.45.

Math Symbols


Symbol Symbol name Symbol Significant Example
+ plus sign addition 1/2 + 1/iii
- minus sign subtraction 1 1/two - 2/3
* asterisk multiplication 2/3 * iii/4
× times sign multiplication 2/3 × 5/vi
: division sign segmentation 1/2 : three
/ division slash division 1/3 / 5
: colon circuitous fraction one/two : 1/3
^ caret exponentiation / ability one/4^3
() parentheses calculate expression inside first -3/5 - (-1/iv)

The computer 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, Sectionalization, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Guild, Partition, Multiplication, Improver, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Improver, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Improver and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be conscientious; always exercise multiplication and sectionalisation before improver and subtraction. Some operators (+ and -) and (* and /) take the same priority and must evaluate from left to right.

Fractions in word problems:

  • In the cafeteria
    There are eighteen students in Jacob's homeroom. Half dozen students bring their lunch to school. The residue consume lunch in the cafeteria. In the simplest form, what fraction of students eat tiffin in the cafeteria?
  • Someone
    Someone ate 1/ten of a cake, leaving simply 9/10. If you eat 2/iii of the cake left, how much of a whole block volition you have eaten?
  • Lowest terms 2
    We tin write the expression 4/12 in its everyman term every bit ane/iii. What is iii/xv expressed in its lowest term?
  • Evaluate expression
    Summate the value of the expression z/3 - 2 z/9 + one/half dozen, for z = 2
  • 1 Saturday
    I Sat evening there are twoscore girls, 25 boys, 18 women and 17 men at a movie theater. What fraction are girls?
  • Babies
    Two adults, 2 children, and four babies are on a bus. What fraction of the people are babies?
  • The parsley
    Milka's grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?
  • Denominator 2
    The denominator of a fraction is five, and the numerator is seven. Write the fraction.
  • Fruit basket
    If at that place are vii apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • Fraction and a decimal
    Write as a fraction and a decimal. One and two plus three and five hundredths
  • A class IV.A
    In a class, there are fifteen girls and 30 boys.  What fraction of the class represents the boys?

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