You are watching: 8 1/2 divided by 3

Divide: 1/2 : 3 = 1/2 · 1/3 = 1 · 1/2 · 3 = 1/6 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/1 is 1/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.In words - one half divided by three = one sixth.

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

**5/100**. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

**The slash separates the numerator (number above a fraction line) and denominator (number below).Mixed numerals**(mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

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

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

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus sign

**-**is subtraction and

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

**The exponentiation/power symbol is ^**- for example:

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

**Examples: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and 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• 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)• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fractions multiple: 2/3 of 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows well-known rules for order of operations**. The most common mnemonics for remembering this order of operations 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 Symbols - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

**Be careful, always do multiplication and division**before

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