2 x 1/3

Work with fractions

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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 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 result:

2 * 1/3 = 2/30.6666667

Spelled result in words is two thirds.

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How tự we solve fractions step by step?

  1. Multiple: 2 * 1/3 = 2 · 1/1 · 3 = 2/3
    Multiply both numerators and denominators. Result fraction keep lớn lowest possible denominator GCD(2, 3) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - two multiplied by one third is two thirds.

Rules for expressions with fractions:

Fractions - use a forward slash lớn divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

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Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash lớn input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted lớn fractions - i.e. 1.45.

Math Symbols

SymbolSymbol nameSymbol MeaningExample
+plus signaddition 1/2 + 1/3
-minus signsubtraction 1 một nửa - 2/3
*asteriskmultiplication 2/3 * 3/4
×times signmultiplication 2/3 × 5/6
:division signdivision 1/2 : 3
/division slashdivision 1/3 / 5
:coloncomplex fraction 1/2 : 1/3
^caretexponentiation / power 1/4^3
()parenthesescalculate expression inside first-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, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, 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 careful; always tự multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left lớn right.

Fractions in word problems:

  • The following 3
    The following fraction is reduced lớn its lowest terms except one. Which of these: A.98/99 B.73/179 C.1/250 D.81/729
  • Puzzle game
    In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets lớn solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest size.
  • Samantha
    Samantha took 72 pictures on her beach vacation. 3/4 of those pictures are on the beach. How many pictures from her vacation are on the beach?
  • Using money
    Out of 575,000.00 given lớn a school, an amount of 25,000.00 was used. What fraction of the total amount was used?
  • Simplify 12
    Simplify {1/3 + 1/12} ÷ {2/3 - 5/8}
  • In fractions
    An ant climbs 2/5 of the pole in the first hour and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in two hours?
  • A class IV.A
    In a class, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
  • 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?
  • In the cafeteria
    There are 18 students in Jacob's homeroom. Six students bring their lunch lớn school. The rest eat lunch in the cafeteria. In the simplest size, what fraction of students eat lunch in the cafeteria?
  • Children 9
    There are 11 children in a room. Six of the children are girls. What fraction of the children are girls?
  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2
  • Dea makes
    Dea makes 18 out of 27 shots in a basketball game. Which decimal represents the fraction of shots Dea makes?
  • Zdeněk
    Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
  • A company
    A company has 860 employees, of which 500 are female. Write a fraction lớn represent the female employees in the company.
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 over fraction. Give your answer lớn 2 decimal places.

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