The calculator performs straightforward and progressed operations through fractions, expressions v fractions merged with integers, decimals, and mixed numbers. It likewise shows comprehensive step-by-step information around the fraction calculation procedure. Solve difficulties with two, three, or much more fractions and also numbers in one expression.

You are watching: 2/3 divided by 20

## Result:

### (4 2/5) : (1 1/5) = 11/3 = 3 2/3 ≅ 3.6666667

Spelled result in words is eleven thirds (or three and two thirds).
counter a combined number 4 2/5 to a not correct fraction: 4 2/5 = 4 2/5 = 4 · 5 + 2/5 = 20 + 2/5 = 22/5To find a brand-new numerator:a) multiply the entirety number 4 through the denominator 5. Totality number 4 same 4 * 5/5 = 20/5b) add the answer from previous action 20 to the molecule 2. New numerator is 20 + 2 = 22c) write a previous price (new numerator 22) end the denominator 5.Four and two fifths is twenty-two fifths counter a mixed number 1 1/5 come a improper fraction: 1 1/5 = 1 1/5 = 1 · 5 + 1/5 = 5 + 1/5 = 6/5To uncover a new numerator:a) multiply the totality number 1 through the denominator 5. Totality number 1 equally 1 * 5/5 = 5/5b) add the answer native previous action 5 to the molecule 1. New numerator is 5 + 1 = 6c) compose a previous price (new molecule 6) end the denominator 5.One and one fifth is six fifths Divide: 22/5 : 6/5 = 22/5 · 5/6 = 22 · 5/5 · 6 = 110/30 = 10 · 11 /10 · 3 = 11/3 separating two fountain is the same as multiply the an initial fraction by the reciprocal value of the 2nd fraction. The very first sub-step is to uncover the reciprocal (reverse the numerator and denominator, mutual of 6/5 is 5/6) that the 2nd fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the following intermediate step, cancel by a typical factor of 10 provides 11/3. In other words - twenty-two fifths separated by 6 fifths = eleven thirds.
Rules because that expressions v fractions: Fractions - merely use a front slash between the numerator and denominator, i.e., for five-hundredths, get in 5/100. If you space using blended numbers, be sure to leave a solitary space between the whole and fraction part.The slash separates the numerator (number over a portion line) and denominator (number below).Mixed numerals (mixed fountain or mixed numbers) compose as creature separated by one space and portion i.e., 12/3 (having the same sign). An example of a an unfavorable mixed fraction: -5 1/2.Because cut is both indicators for portion line and division, us recommended usage colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) get in with a decimal suggest . and also they are immediately converted to fractions - i.e. 1.45.The colon : and also slash / is the symbol of division. Can be used to divide blended numbers 12/3 : 43/8 or deserve to 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 ()<> is mathematical 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• subtracting fractions: 2/3 - 1/2• multiply fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• including 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• fraction to Decimal: 1/4• portion to Percent: 1/8 %• 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 portion (simplification) - dividing the numerator and also denominator that a fraction by the same non-zero number - tantamount fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fractions multiple: 2/3 the 3/5• division to discover the quotient: 3/5 ÷ 2/3The calculator follows popular rules for order the operations. The most common mnemonics for remembering this bespeak 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 - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. be careful, constantly do multiplication and division prior to addition and also subtraction. Some operators (+ and also -) and (* and also /) has actually the same priority and then should evaluate native left to right.

## Fractions in native problems:

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