This 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.

Bạn đang xem: Young, precalculus, third edition: student edition grades 9


Result:

2 * 5/6 = 5/3 = 1 2/3 ≅ 1.6666667

Spelled result in words is five thirds (or one và 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.Mixed numerals (mixed numbers or fractions) keep one space between the integer andfraction và 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 và division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.Decimals (decimal numbers) enter with a decimal point . & they are automatically converted to lớn fractions - i.e. 1.45.

Math Symbols

SymbolSymbol nameSymbol MeaningExample
+plus signaddition một nửa + 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)

Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 50% : 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 và fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• Fraction to Decimal: 1/4• Fraction khổng lồ 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 phần tư 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: 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: Tác Dụng Của Xe Đạp Tập Thể Dục Bằng Xe Đạp Có Tác Dụng Gì, 8 Tác Dụng Bất Ngờ Của Xe Đạp Tập Thể Dục

MDAS - Multiplication và Division have the same precedence over Addition và Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule. Be careful; always vị multiplication and division before addition và subtraction. Some operators (+ & -) & (* and /) has the same priority and then must evaluate from left to lớn right.