You are watching: 6 divided by 3/8 in fraction form

Divide: 6 : 2/3 = 6/1 · 3/2 = 6 · 3/1 · 2 = 18/2 = 2 · 9 /2 · 1 = 9 splitting two fractions is the exact same as multiply the first fraction through the reciprocal worth of the second fraction. The an initial sub-step is to find the reciprocal (reverse the numerator and denominator, mutual of 2/3 is 3/2) that the 2nd fraction. Next, main point the 2 numerators. Then, main point the two denominators. In the following intermediate step, release by a common factor that 2 gives 9/1. In other words - six separated by two thirds = nine.

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

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

**The cut separates the molecule (number over a fraction line) and also denominator (number below).Mixed numerals**(mixed fountain or blended numbers) create as essence separated through one room and fraction i.e.,

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

**-5 1/2**.

**Because cut is both indicators for fraction line and division, us recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3**.

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

**1.45**.

**The colon :**and slash

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

**12/3 : 43/8**or can be supplied 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

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

**The exponentiation/power price 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• separating Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• separating integer and fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiply a fraction by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simple the portion (simplification) - dividing the numerator and also denominator of a portion by the exact same non-zero number - equivalent fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 of 5/7• fractions multiple: 2/3 that 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows popular rules for order of 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 symbols - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

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

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