You are watching: 2/3 divided by 3/4
Divide: 2/3 : 3/4 = 2/3 · 4/3 = 2 · 4/3 · 3 = 8/9 splitting two fractions is the very same as multiplying the very first fraction by the reciprocal worth of the 2nd fraction. The first sub-step is to discover the reciprocal (reverse the numerator and also denominator, reciprocal of 3/4 is 4/3) the the 2nd fraction. Next, multiply the 2 numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be additional simplified by canceling.In various other words - two thirds separated by 3 quarters = eight ninths.
Rules because that expressions through fractions: Fractions - use the cut “/” between the numerator and denominator, i.e., for five-hundredths, get in 5/100. If you are using mixed numbers, be certain to leave a single space in between the whole and fraction part.The cut separates the numerator (number over a portion line) and denominator (number below).Mixed numerals (mixed fountain or mixed numbers) compose as non-zero essence separated through one space and portion i.e., 12/3 (having the exact same sign). An instance of a negative mixed fraction: -5 1/2.Because cut is both signs for fraction line and also division, us recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal point . and also they are instantly converted to fountain - i.e. 1.45.The colon : and also slash / is the prize of division. Deserve to be supplied 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 for multiplication.Plus + is addition, minus authorize - is subtraction and also ()<> is mathematical parentheses.The exponentiation/power prize is ^ - because that 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• dividing Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• spring exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• separating integer and also 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 %• 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 simplifying the portion (simplification) - dividing the numerator and denominator the a portion by the very same non-zero number - indistinguishable fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 the 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows well-known rules because that order that operations. The most usual mnemonics for remembering this order 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 division before addition and also subtraction. Some operators (+ and -) and (* and /) has the very same priority and also then need to evaluate native left come right.