The calculator performs basic and progressed operations through fractions, expressions with fractions linked with integers, decimals, and mixed numbers. It likewise shows in-depth step-by-step information about the fraction calculation procedure. Solve difficulties with two, three, or an ext fractions and numbers in one expression.

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.

See more: How Far Is Seattle From Coeur D'Alene, Seattle To Coeur Dalene

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.

Fractions in native problems:

next math problems »