You are watching: 4 divided by 2/3
Divide: 3/4 : 2 = 3/4 · 1/2 = 3 · 1/4 · 2 = 3/8 splitting two fractions is the very same as multiplying the first fraction by the reciprocal value of the second fraction. The very first sub-step is to discover the mutual (reverse the numerator and also denominator, mutual of 2/1 is 1/2) that the second fraction. Next, main point the 2 numerators. Then, main point the 2 denominators. In the complying with intermediate step, the portion result can not be more simplified by canceling.In various other words - three quarters divided by two = 3 eighths.
Rules because that expressions with fractions: Fractions - just use a front slash in between the numerator and also denominator, i.e., for five-hundredths, go into 5/100. If you space using combined numbers, be sure to leave a single space in between the whole and portion part.The slash separates the molecule (number above a portion line) and also denominator (number below).Mixed numerals (mixed fountain or blended numbers) create as creature separated through one room and portion i.e., 12/3 (having the same sign). An example of a an unfavorable mixed fraction: -5 1/2.Because slash is both indications for fraction line and also division, us recommended usage colon (:) as the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fountain - i.e. 1.45.The colon : and also slash / is the symbol of division. Can be supplied to divide combined numbers 12/3 : 43/8 or can be used for write complex fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol for multiplication.Plus + is addition, minus sign - is subtraction and ()<> is mathematics parentheses.The exponentiation/power price 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• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a portion by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simplifying the portion (simplification) - separating the numerator and denominator of a fraction by the same non-zero number - identical fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fountain multiple: 2/3 the 3/5• division to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order the operations. The most common mnemonics for remembering this order 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.
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GEMDAS - Grouping symbols - base (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and also division prior to addition and also subtraction. Some operators (+ and also -) and (* and also /) has actually the very same priority and then should evaluate from left to right.