You are watching: What is 2 divided by 2/3

Divide: 3 : 2/3 = 3/1 · 3/2 = 3 · 3/1 · 2 = 9/2 separating two fractions is the same as multiplying the very first fraction by the reciprocal value of the 2nd fraction. The first sub-step is to uncover the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2) of the second fraction. Next, multiply the 2 numerators. Then, main point the two denominators. In the adhering to intermediate step, it cannot additional simplify the portion result by canceling.In various other words - three separated by 2 thirds = ripe halfs.

Rules because that expressions with fractions: Fractions - merely use a front slash between the numerator and also denominator, i.e., for five-hundredths, enter

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

**The slash separates the molecule (number above a fraction line) and denominator (number below).Mixed numerals**(mixed fractions or combined numbers) write as integer separated through one room and fraction i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

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

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

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

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus sign

**-**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• splitting Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• spring exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• compare fractions: 1/4 2/3• multiply a portion by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simple the portion (simplification) - splitting the numerator and denominator the a portion by the same non-zero number - indistinguishable fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fountain multiple: 2/3 the 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows well-known rules for order of operations**. The most usual mnemonics for remembering this order of work are:

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

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

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

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

**be careful, always do multiplication and also division**before

**addition and subtraction**. Some operators (+ and also -) and also (* and also /) has the very same priority and also then should evaluate from left come right.