The calculator performs straightforward and progressed operations through fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows in-depth step-by-step information about the portion calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

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Result:

(5 2/3) : 4 = 17/12 = 1 5/12 ≅ 1.4166667

Spelled an outcome in native is seventeen twelfths (or one and five twelfths).
counter a blended number 5 2/3 come a wrong fraction: 5 2/3 = 5 2/3 = 5 · 3 + 2/3 = 15 + 2/3 = 17/3To find a new numerator:a) multiply the entirety number 5 by the denominator 3. Entirety number 5 equally 5 * 3/3 = 15/3b) include the answer native previous step 15 to the numerator 2. New numerator is 15 + 2 = 17c) create a previous price (new numerator 17) over the denominator 3.Five and also two thirds is seventeen thirds Divide: 17/3 : 4 = 17/3 · 1/4 = 17 · 1/3 · 4 = 17/12 separating two fractions 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 discover the mutual (reverse the numerator and denominator, mutual of 4/1 is 1/4) that the 2nd fraction. Next, main point the two numerators. Then, multiply the 2 denominators. In the complying with intermediate step, the portion result cannot be further simplified through canceling.In various other words - seventeen thirds divided by four = seventeen twelfths.
Rules for expressions through fractions: Fractions - merely use a forward slash in between the numerator and also denominator, i.e., because that five-hundredths, enter 5/100. If you are using mixed numbers, be certain to leaving a solitary space in between the totality and fraction part.The cut separates the molecule (number above a portion line) and also denominator (number below).Mixed numerals (mixed fountain or blended numbers) write as essence separated by one room and fraction i.e., 12/3 (having the very same sign). An instance of a negative mixed fraction: -5 1/2.Because slash is both signs for fraction line and division, us recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal allude . and they are instantly converted to fountain - i.e. 1.45.The colon : and slash / is the symbol of division. Deserve to be used to divide combined numbers 12/3 : 43/8 or have the right to 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 authorize - is subtraction and ()<> is mathematics parentheses.The exponentiation/power prize 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• splitting Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and also mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to Decimal: 1/4• portion to Percent: 1/8 %• compare fractions: 1/4 2/3• multiply a portion by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simple the fraction (simplification) - separating the numerator and also denominator the a portion by the very 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 that 3/5• division to uncover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order the operations. The most common mnemonics because that remembering this bespeak of to 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 - base (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, constantly do multiplication and also division before addition and also subtraction. Some operators (+ and -) and also (* and /) has the very same priority and also then must evaluate native left come right.

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