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 vì thế 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 đồ sộ 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 đồ sộ 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 đồ sộ 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 đồ sộ fractions - i.e. 1.45.

Math Symbols

SymbolSymbol nameSymbol MeaningExample
+plus signaddition 1/2 + 1/3
-minus signsubtraction 1 50% - 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 vì thế multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left đồ sộ right.

Fractions in word problems:

  • In the cafeteria
    There are 18 students in Jacob's homeroom. Six students bring their lunch đồ sộ school. The rest eat lunch in the cafeteria. In the simplest sườn, what fraction of students eat lunch in the cafeteria?
  • Brown or black
    Max has 13 pairs of socks. From this, six pairs are xanh rớt, three pairs are brown, two are Black, and two are white. What fraction of Max's socks are either brown or black?
  • Dea makes
    Dea makes 18 out of 27 shots in a basketball game. Which decimal represents the fraction of shots Dea makes?
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 kết thúc fraction. Give your answer đồ sộ 2 decimal places.
  • Fruit basket
    If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • Puzzle game
    In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets đồ sộ solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest sườn.
  • The following 3
    The following fraction is reduced đồ sộ its lowest terms except one. Which of these: A.98/99 B.73/179 C.1/250 D.81/729
  • Fraction and a decimal
    Write as a fraction and a decimal. One and two plus three and five hundredths
  • Fractions 80134
    There are 420 pupils in the school. Two hundred fifty-two pupils go đồ sộ the 1st level. Write as a fraction what part of the pupils goes đồ sộ the 1st grade and what part đồ sộ the 2nd grade. Shorten both fractions đồ sộ their basic sườn.
  • Oranges
    There are 50 oranges in a bag. If ten of these oranges are bad, what fraction of them are good?
  • A company
    A company has 860 employees, of which 500 are female. Write a fraction đồ sộ represent the female employees in the company.
  • Fraction đồ sộ decimal
    Write the fraction 3/22 as a decimal.
  • Someone
    Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten?
  • 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?

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