You are watching: 2/3 divided by 6

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

Rules because that expressions v fractions: Fractions - just use a forward slash between the numerator and also denominator, i.e., because that five-hundredths, get in

**5/100**. If you room using mixed numbers, be sure to leaving a single space in between the totality and portion part.

**The slash separates the numerator (number above a portion line) and denominator (number below).Mixed numerals**(mixed fountain or blended numbers) create as integer separated by one room and fraction i.e.,

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

**-5 1/2**.

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

**Decimals (decimal numbers) get in with a decimal allude .**and also they are immediately converted to fountain - i.e.

**1.45**.

**The colon :**and slash

**/**is the symbol of division. Can be used to divide blended numbers

**12/3 : 43/8**or have the right to be offered for write complex fractions i.e.

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

**An asterisk ***or

**×**is the symbol because that multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

**()<>**is mathematics 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• multiplying fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• portion to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiplying a fraction by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simple the fraction (simplification) - separating the numerator and denominator that a fraction by the very same non-zero number - equivalent fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 of 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that order that operations**. The most common mnemonics for remembering this bespeak of to work are:

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

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

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

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

**it is in careful, always do multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and also (* and also /) has actually the same priority and then must evaluate from left to right.