You are watching: 4/5 divided by 4

Divide: 2 : 4/5 = 2/1 · 5/4 = 2 · 5/1 · 4 = 10/4 = 2 · 5 /2 · 2 = 5/2 separating two fractions is the exact same as multiplying the very first fraction through the reciprocal worth of the 2nd fraction. The very first sub-step is to find the mutual (reverse the numerator and also denominator, mutual of 4/5 is 5/4) that the second fraction. Next, main point the two numerators. Then, multiply the two denominators. In the following intermediate step, publication by a common factor that 2 gives 5/2. In various other words - two separated by four fifths = 5 halfs.

Rules because that expressions v fractions: Fractions - use the cut “/” in between the numerator and denominator, i.e., for five-hundredths, go into

**5/100**. If you space using combined numbers, be certain to leaving a solitary space in between the entirety and portion part.

**The cut separates the numerator (number over a portion line) and also denominator (number below).Mixed numerals**(mixed fountain or combined numbers) compose as non-zero creature separated by one space and portion i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the prize 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 for multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

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

**The exponentiation/power symbol is ^**- for 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• fractional exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• compare fractions: 1/4 2/3• multiplying a portion by a entirety number: 6 * 3/4• square root of a fraction: sqrt(1/16)• to reduce or simplifying the portion (simplification) - separating the numerator and also denominator that a portion by the same non-zero number - indistinguishable fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 the 5/7• fractions multiple: 2/3 the 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that order the operations**. The most common mnemonics because that 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 - base (), Exponents, Multiplication, Division, Addition, Subtraction.

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

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