You are watching: 5 divided by 3/10 as a fraction

## Result:

### (9/10) : (3/5) = 3/2 = 1 1/2 = 1.5

Spelled result in words is 3 halfs (or one and also one half).Divide: 9/10 : 3/5 = 9/10 · 5/3 = 9 · 5/10 · 3 = 45/30 = 15 · 3 /15 · 2 = 3/2 separating two fractions is the exact same as multiply the first fraction through the reciprocal worth of the second fraction. The an initial sub-step is to discover the reciprocal (reverse the numerator and also denominator, mutual of 3/5 is 5/3) that the second fraction. Next, multiply the 2 numerators. Then, multiply the two denominators. In the complying with intermediate step, cancel by a usual factor the 15 provides 3/2. In various other words - nine tenths divided by 3 fifths = three halfs.

Rules because that expressions with fractions: Fractions - usage the slash “/” between the numerator and also denominator, i.e., because that five-hundredths, enter

**5/100**. If you room using blended numbers, be certain to leaving a single space between the entirety and fraction part.

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

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the price of division. Deserve to be provided to divide combined numbers

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

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

**An asterisk ***or

**×**is the symbol because that multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

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

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

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

**Examples: • adding fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiply fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• portion to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• to reduce or simplifying the fraction (simplification) - splitting the numerator and also denominator of a fraction by the exact same non-zero number - tantamount fraction: 4/22• expression v 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 popular rules for order that operations**. The most typical mnemonics because that remembering this stimulate of work 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 symbols - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

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

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