You are watching: 2/3 divided by 6
Divide: 6 : 2/3 = 6/1 · 3/2 = 6 · 3/1 · 2 = 18/2 = 2 · 9 /2 · 1 = 9 separating two fountain is the exact same as multiply the very first fraction by the reciprocal value of the 2nd fraction. The first sub-step is to find the mutual (reverse the numerator and denominator, reciprocal of 2/3 is 3/2) the the second fraction. Next, main point the 2 numerators. Then, main point the 2 denominators. In the adhering to intermediate step, release by a common factor that 2 offers 9/1. In other words - six divided by two thirds = nine.
Rules because that expressions v fractions: Fractions - just use a forward slash between the numerator and also denominator, i.e., because that five-hundredths, get in 5/100. If you room using mixed numbers, be sure to leaving a single space in between the totality and portion part.The slash separates the numerator (number above a portion line) and denominator (number below).Mixed numerals (mixed fountain or blended numbers) create as integer separated by one room and fraction i.e., 12/3 (having the same sign). An example of a an adverse mixed fraction: -5 1/2.Because slash is both signs for portion line and division, us recommended usage colon (:) together the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) get in with a decimal allude . and also they are immediately converted to fountain - i.e. 1.45.The colon : and slash / is the symbol of division. Can be used to divide blended numbers 12/3 : 43/8 or have the right to be offered 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 also ()<> is mathematics parentheses.The exponentiation/power prize is ^ - because that example: (7/8-4/5)^2 = (7/8-4/5)2
Examples: • including fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to 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 totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simple the fraction (simplification) - separating the numerator and denominator that a fraction by the very same non-zero number - equivalent fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 of 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that order that operations. The most common mnemonics for 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 signs - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and also (* and also /) has actually the same priority and then must evaluate from left to right.