You are watching: 5 divided by 1/6

Divide: 5 : 1/6 = 5/1 · 6/1 = 5 · 6/1 · 1 = 30/1 = 30 separating two fountain is the exact same as multiply the an initial fraction by the reciprocal worth of the second fraction. The very first sub-step is to uncover the reciprocal (reverse the numerator and also denominator, reciprocal of 1/6 is 6/1) the the second fraction. Next, multiply the two numerators. Then, main point the 2 denominators.In various other words - five split by one sixth = thirty.

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

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

**The slash separates the numerator (number above a portion line) and also denominator (number below).Mixed numerals**(mixed fountain or mixed numbers) write as non-zero essence separated by one room and portion i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the prize of division. Deserve to be supplied to divide mixed numbers

**12/3 : 43/8**or deserve to be offered for write facility fractions i.e.

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

**An asterisk ***or

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

**Plus +**is addition, minus sign

**-**is subtraction and also

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

**The exponentiation/power price is ^**- for 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• dividing Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• dividing integer and 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• multiplying a portion by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simplifying the fraction (simplification) - dividing the numerator and also denominator of a fraction by the same non-zero number - indistinguishable fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 the 5/7• fractions multiple: 2/3 the 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows popular rules for order that operations**. The most typical mnemonics because that remembering this stimulate of to 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, constantly do multiplication and also division**prior to

**addition and subtraction**. Some operators (+ and -) and (* and also /) has the exact same priority and also then need to evaluate indigenous left come right.