# Fraction Calculator

This calculator divides fractions. The first step makes the reciprocal value of the second fraction - exchange numerator và denominator of 2nd fraction. Then multiply both numerators và place the result over the sản phẩm of both denominators. Then simplify the result to lớn the lowest terms or a mixed number.

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Divide: một nửa : 1/3 = 1/2 · 3/1 = 1 · 3/2 · 1 = 3/2 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is lớn find the reciprocal (reverse the numerator and denominator, reciprocal of 1/3 is 3/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words - one half divided by one third is three halfs.
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 đầu vào 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., một nửa : 1/3.Decimals (decimal numbers) enter with a decimal point .

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& they are automatically converted khổng lồ fractions - i.e. 1.45.

### Math Symbols

SymbolSymbol nameSymbol MeaningExample
+plus signaddition một nửa + 1/3
-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: 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 and 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 lớn Decimal: 1/4• Fraction 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: 3 phần tư of 5/7• fractions multiple: 2/3 of 3/5• divide to 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 vày multiplication và division before addition & subtraction. Some operators (+ and -) & (* và /) has the same priority & then must evaluate from left lớn right.