You are watching: One half divided by one fourth

Divide: 1/2 : 4 = 1/2 · 1/4 = 1 · 1/2 · 4 = 1/8 dividing two fountain is the same as multiply the an initial fraction through the reciprocal worth of the 2nd fraction. The first sub-step is to uncover the reciprocal (reverse the numerator and denominator, reciprocal of 4/1 is 1/4) of the second fraction. Next, multiply the 2 numerators. Then, multiply the 2 denominators. In the complying with intermediate step, that cannot additional simplify the portion result by canceling.In various other words - one fifty percent divided by four = one eighth.

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

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

**The slash separates the molecule (number above a portion line) and denominator (number below).Mixed numerals**(mixed fractions or combined numbers) write as essence separated by one room 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 fraction line and also division, we recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3**.

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

**1.45**.

**The colon :**and slash

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

**12/3 : 43/8**or have the right to be provided for write complex 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 symbol is ^**- because that example:

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

**Examples: • including fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• compare fractions: 1/4 2/3• multiplying a fraction by a entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simple the fraction (simplification) - dividing the numerator and also denominator the a portion by the exact same non-zero number - tantamount fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 of 5/7• fountain multiple: 2/3 the 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order of 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, that or Order, Division, Multiplication, Addition, Subtraction.

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**GEMDAS**- Grouping icons - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

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

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