You are watching: 1/4 divided by 3

Divide: 1/4 : 3 = 1/4 · 1/3 = 1 · 1/4 · 3 = 1/12 dividing two fountain is the very same as multiplying the an initial fraction by the reciprocal worth of the second fraction. The an initial sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/1 is 1/3) that the 2nd fraction. Next, main point the two numerators. Then, main point the two denominators. In the next intermediate step, the portion result can not be more simplified by canceling.In words - one quarter divided by 3 = one twelfth.

Rules for expressions v fractions: Fractions - usage the slash “/” between the numerator and denominator, i.e., for five-hundredths, go into

**5/100**. If you room using combined numbers, be sure to leaving a single space in between the whole and fraction part.

**The slash separates the molecule (number over a fraction line) and also denominator (number below).Mixed numerals**(mixed fountain or mixed numbers) compose as non-zero integer separated by one space and fraction i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the price of division. Have the right to be provided to divide mixed numbers

**12/3 : 43/8**or can be provided for write facility 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 ^**- 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• multiply fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a entirety number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator that a portion by the same non-zero number - indistinguishable fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 that 5/7• fractions multiple: 2/3 that 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that 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, of or Order, Division, Multiplication, Addition, Subtraction.

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

**it is in careful, constantly do multiplication and division**prior to

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