Bạn đang xem: 1/2 + 1/4 + 1/8 + 1/16 + ⋯

## Result:

### 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2 = 2 1/2 = 2.5

Spelled result in words is five halfs (or two and one half).Conversion a mixed number 2 1/2 to a improper fraction: 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2To find a new numerator:a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/2 = 4/2b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5c) Write a previous answer (new numerator 5) over the denominator 2.Two and one half is five halfs

Rules for expressions with fractions: Fractions - use a forward slash to 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.

**Mixed numerals**(mixed numbers or fractions) keep one space between the integer and

**fraction and use a forward slash to input fractions i.e., 12/3**. An example of a negative mixed fraction:

**-5 1/2**.

**Because slash is both signs 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 to fractions - i.e.

**1.45**.

Xem thêm: Ngày 19 Tháng 8 Năm 1945 Là Ngày Gì ? Ngày 19 Tháng 8 Có Ý Nghĩa Gì?

### Math Symbols

SymbolSymbol nameSymbol MeaningExample+ | plus sign | addition | 1/2 + 1/3 |

- | minus sign | subtraction | 1 1/2 - 2/3 |

* | asterisk | multiplication | 2/3 * 3/4 |

× | times sign | multiplication | 2/3 × 5/6 |

: | division sign | division | 1/2 : 3 |

/ | division slash | division | 1/3 / 5 |

: | colon | complex fraction | 1/2 : 1/3 |

^ | caret | exponentiation / power | 1/4^3 |

() | parentheses | calculate expression inside first | -3/5 - (-1/4) |

**Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• reciprocal of a fraction: 1 : 3/4• square of a fraction: 2/3^2• cube of a fraction: 2/3^3• exponentiation of a fraction: 1/2^4• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• Fraction to Decimal: 1/4• Fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fractions multiple: 2/3 of 3/5• divide to find the quotient: 3/5 ÷ 2/3**

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:The calculator follows well-known rules for the order of operations

**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.Xem thêm: Ngày 19 Tháng 8 Năm 1945 Là Ngày Gì ? Ngày 19 Tháng 8 Có Ý Nghĩa Gì?

**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 do multiplication and division**before**addition and subtraction**. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.