1/2 2/3

Work with fractions

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This calculator subtracts two fractions. First, convert all fractions đồ sộ a common denominator when fractions have different denominators. Find Least Common Denominator (LCD) or multiply all denominators đồ sộ find a common denominator. When all denominators are the same, subtract the numerators and place the result over the common denominator. Then simplify the result đồ sộ the lowest terms or a mixed number.

The result:

1/2 + 2/3 = 7/6 = 1 1/61.1666667

Spelled result in words is seven sixths (or one and one sixth).

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How bởi we solve fractions step by step?

  1. Add: 1/2 + 2/3 = 1 · 3/2 · 3 + 2 · 2/3 · 2 = 3/6 + 4/6 = 3 + 4/6 = 7/6
    It is suitable đồ sộ adjust both fractions đồ sộ a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. It is enough đồ sộ find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - one half plus two thirds is seven sixths.

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 1/2 - 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 bởi 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:

  • 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 size.
  • Brown or black
    Max has 13 pairs of socks. From this, six pairs are xanh rờn, three pairs are brown, two are đen kịt, and two are white. What fraction of Max's socks are either brown or black?
  • Fraction đồ sộ decimal
    Write the fraction 3/22 as a decimal.
  • 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
  • Simplify 12
    Simplify {1/3 + 1/12} ÷ {2/3 - 5/8}
  • A quarter
    A quarter of the number 72 is:
  • Children 9
    There are 11 children in a room. Six of the children are girls. What fraction of the children are girls?
  • Fruit basket
    If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • 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?
  • A class IV.A
    In a class, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
  • Andy gets
    Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy answer correctly?
  • A company
    A company has 860 employees, of which 500 are female. Write a fraction đồ sộ represent the female employees in the company.
  • Mathew
    Mathew has eight pencils. Three of them bởi not have erasers on over. What fraction of the pencils bởi not have erasers on end?
  • Using money
    Out of 575,000.00 given đồ sộ a school, an amount of 25,000.00 was used. What fraction of the total amount was used?
  • Fraction and a decimal
    Write as a fraction and a decimal. One and two plus three and five hundredths

more math problems »

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