You are watching: 8 divided by 4/5

## Result:

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

Spelled an outcome in words is 5 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 fractions is the exact same as multiply the first fraction by the reciprocal worth of the 2nd fraction. The an initial sub-step is to discover the reciprocal (reverse the numerator and also denominator, reciprocal of 1/4 is 4/1) of the 2nd fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the adhering to intermediate step, cancel by a typical factor of 4 provides 5/2. In various other words - five eighths separated by one quarter = five halfs.

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

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

**The cut separates the molecule (number over a portion line) and denominator (number below).Mixed numerals**(mixed fractions or combined numbers) compose as integer separated by one an are and fraction i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and also slash

**/**is the price of division. Deserve to be used to divide mixed numbers

**12/3 : 43/8**or can be provided for write complicated 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 math parentheses.

**The exponentiation/power symbol 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• dividing Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiplying a fraction by a entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simple the portion (simplification) - dividing the numerator and denominator the a portion by the same non-zero number - tantamount fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 of 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows popular rules for order that operations**. The most common mnemonics because that remembering this order 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.

**be careful, constantly do multiplication and division**before

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