You are watching: 6/5 divided by 3/5

Divide: 6/5 : 3/5 = 6/5 · 5/3 = 6 · 5/5 · 3 = 30/15 = 15 · 2 /15 · 1 = 2 separating two fountain is the very same as multiplying the an initial fraction by the reciprocal value of the second fraction. The an initial sub-step is to uncover the mutual (reverse the numerator and also denominator, mutual of 3/5 is 5/3) that the second fraction. Next, main point the 2 numerators. Then, main point the 2 denominators. In the next intermediate step, , cancel by a common factor of 15 provides 2/1. In native - 6 fifths divided by three fifths = two.

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

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

**The slash separates the molecule (number over a fraction line) and denominator (number below).Mixed numerals**(mixed fractions or combined numbers) create as non-zero essence separated through one space and fraction i.e.,

**12/3**(having the exact same sign). An instance of a an adverse mixed fraction:

**-5 1/2**.

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

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

**1.45**.

**The colon :**and also slash

**/**is the symbol of division. Deserve to be provided 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 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• dividing Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• spring exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• separating integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• portion to Percent: 1/8 %• compare fractions: 1/4 2/3• multiplying a portion by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simple the fraction (simplification) - splitting the numerator and denominator that a fraction by the same non-zero number - tantamount fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 that 5/7• fractions multiple: 2/3 of 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows well-known rules because that order of operations**. The most common mnemonics because that remembering this bespeak of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, the or Order, Division, Multiplication, Addition, Subtraction.

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**GEMDAS**- Grouping signs - 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 also (* and /) has actually the exact same priority and also then must evaluate indigenous left come right.