Fraction computer

This fraction computer performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology too shows detailed step-past-stride information about the fraction adding process. The figurer helps in finding value from multiple fractions operations. Solve problems with two, iii, or more fractions and numbers in i expression.

Rules for expressions with fractions:

Fractions - use a forward slash to carve up the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a infinite betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and use a forward slash to input fractions i.due east., 1 2/iii . An instance of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and segmentation, use a colon (:) as the operator of division fractions i.e., one/2 : 1/three.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.eastward. ane.45.

Math Symbols


Symbol Symbol proper name Symbol Meaning Case
+ plus sign addition i/2 + 1/3
- minus sign subtraction one 1/ii - 2/3
* asterisk multiplication 2/3 * iii/4
× times sign multiplication ii/iii × v/6
: partitioning sign division 1/2 : 3
/ division slash division 1/3 / v
: colon complex fraction 1/2 : 1/iii
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within get-go -3/v - (-1/iv)

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

Fractions in word problems:

  • In fractions
    An ant climbs 2/5 of the pole in the offset hour and climbs i/4 of the pole in the side by side hour. What function of the pole does the ant climb in ii hours?
  • In the cafeteria
    At that place are 18 students in Jacob'southward homeroom. Six students bring their lunch to school. The rest eat lunch in the deli. In the simplest form, what fraction of students consume lunch in the cafeteria?
  • Someone
    Someone ate 1/10 of a block, leaving simply 9/ten. If you eat 2/three of the cake left, how much of a whole cake volition you accept eaten?
  • A quarter
    A quarter of the number 72 is:
  • Lowest terms 2
    We can write the expression iv/12 in its lowest term equally ane/3. What is 3/xv expressed in its lowest term?
  • Evaluate expression
    Calculate the value of the expression z/iii - 2 z/9 + one/vi, for z = two
  • One Saturday
    One Saturday evening at that place are forty girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • Denominator 2
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • Fruit basket
    If in that location are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • The parsley
    Milka'southward grandmother planted 12 rows of vegetables. ane/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?

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