# HOW DOES 1/2 + 1/4 + 1/8 + 1/16 + …, TILL INFINITY HAVE A SUM?

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This calculator performs basic & advanced fraction operations, expressions with fractions combined with integers, decimals, & 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.

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Conversion a mixed number 2 1/4 to lớn a improper fraction: 2 1/4 = 2 1/4 = 2 · 4 + 1/4 = 8 + 1/4 = 9/4To find a new numerator:a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/4 = 8/4b) địa chỉ cửa hàng the answer from previous step 8 lớn the numerator 1. New numerator is 8 + 1 = 9c) Write a previous answer (new numerator 9) over the denominator 4.Two & one quarter is nine quarters Conversion a mixed number 1 3/8 khổng lồ a improper fraction: 1 3/8 = 1 3/8 = 1 · 8 + 3/8 = 8 + 3/8 = 11/8To find a new numerator:a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8b) showroom the answer from previous step 8 lớn the numerator 3. New numerator is 8 + 3 = 11c) Write a previous answer (new numerator 11) over the denominator 8.One & three eighths is eleven eighths
Rules for expressions with fractions: Fractions - use a forward slash khổng lồ 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 và fraction parts.Mixed numerals (mixed numbers or fractions) keep one space between the integer andfraction & 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 & division, use a colon (:) as the operator of division fractions i.e., 50% : 1/3.Decimals (decimal numbers) enter with a decimal point .

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& they are automatically converted to fractions - i.e. 1.45.

### Math Symbols

SymbolSymbol nameSymbol MeaningExample
-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)

Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: một nửa : 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 & 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 lớn Decimal: 1/4• Fraction to lớn 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 và 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: ba phần tư of 5/7• fractions multiple: 2/3 of 3/5• divide lớn 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: 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.

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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 & division before addition và subtraction. Some operators (+ và -) và (* và /) has the same priority & then must evaluate from left lớn right.