You are watching: 8 divided by 1/6

## Result:

### (5/8) : (1/4) = 5/2 = 2 1/2 = 2.5

Spelled an outcome in indigenous is five halfs (or two and one half).Divide: 5/8 : 1/4 = 5/8 · 4/1 = 5 · 4/8 · 1 = 20/8 = 4 · 5 /4 · 2 = 5/2 separating two fountain is the very same as multiplying the first fraction through the reciprocal worth of the 2nd fraction. The very first sub-step is to discover the reciprocal (reverse the numerator and also denominator, mutual of 1/4 is 4/1) the the 2nd fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the adhering to intermediate step, publication by a typical factor the 4 offers 5/2. In various other words - five eighths separated by one 4 minutes 1 = five halfs.

Rules for expressions v fractions: Fractions - usage the cut “/” in between the numerator and denominator, i.e., for five-hundredths, enter

**5/100**. If you space using blended numbers, be sure to leave a solitary space in between the whole and portion part.

**The cut separates the molecule (number over a portion line) and also denominator (number below).Mixed numerals**(mixed fountain or mixed numbers) write as non-zero integer separated through one an are 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 also division, we recommended usage colon (:) as the operator of department fractions i.e., 1/2 : 3**.

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

**1.45**.

**The colon :**and slash

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

**12/3 : 43/8**or deserve to be used 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

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

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

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

**Examples: • adding 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• fountain exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• to reduce or simple the fraction (simplification) - dividing the numerator and also denominator of a portion by the same non-zero number - indistinguishable fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 the 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order that operations**. The most usual mnemonics for remembering this bespeak of 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.

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

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