You are watching: 6 divided by 2/3

Divide: 6 : 2/3 = 6/1 · 3/2 = 6 · 3/1 · 2 = 18/2 = 2 · 9 /2 · 1 = 9 dividing two fountain is the very same as multiply the first fraction by the reciprocal value of the 2nd fraction. The very first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2) of the 2nd fraction. Next, multiply the two numerators. Then, main point the two denominators. In the following intermediate step, , cancel by a usual factor that 2 provides 9/1. In words - six divided by 2 thirds = nine.

Rules because that expressions with fractions: Fractions - usage the slash “/” between the numerator and denominator, i.e., because that five-hundredths, get in

**5/100**. If you room using combined numbers, be sure to leave a solitary space between the totality and fraction part.

**The cut separates the molecule (number above a portion line) and also denominator (number below).Mixed numerals**(mixed fountain or combined numbers) compose as non-zero creature separated by one room and portion i.e.,

**12/3**(having the same sign). An example of a an unfavorable mixed fraction:

**-5 1/2**.

**Because cut is both indications for portion line and division, we recommended usage colon (:) together the operator of department fractions i.e., 1/2 : 3**.

**Decimals (decimal numbers) go into with a decimal point .**and also they are instantly converted to fractions - i.e.

**1.45**.

**The colon :**and slash

**/**is the prize of division. Can be supplied to divide blended numbers

**12/3 : 43/8**or can be offered for write complex fractions i.e.

**1/2 : 1/3**.

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

**()<>**is mathematical parentheses.

**The exponentiation/power prize is ^**- because that example:

**(7/8-4/5)^2**= (7/8-4/5)2

**Examples: • including fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiply fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiply a portion by a entirety number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reducing or simplifying the portion (simplification) - separating the numerator and denominator of a portion by the very same non-zero number - identical fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 the 5/7• fractions multiple: 2/3 that 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows famous rules for order the operations**. The most usual mnemonics because that remembering this bespeak of work are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, that or Order, Division, Multiplication, Addition, Subtraction.

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**GEMDAS**- Grouping signs - base (), Exponents, Multiplication, Division, Addition, Subtraction.

**it is in careful, constantly do multiplication and also division**before

**addition and subtraction**. Part operators (+ and -) and also (* and also /) has actually the very same priority and then need to evaluate indigenous left to right.