You are watching: 2 3/4 divided by 3 as a fraction
conversion a blended number 2 3/4 to a improper fraction: 2 3/4 = 2 3/4 = 2 · 4 + 3/4 = 8 + 3/4 = 11/4To find a brand-new numerator:a) multiply the whole number 2 by the denominator 4. Entirety number 2 same 2 * 4/4 = 8/4b) add the answer from previous action 8 come the numerator 3. New numerator is 8 + 3 = 11c) write a previous answer (new numerator 11) end the denominator 4.Two and also three quarters is eleven soldier Divide: 11/4 : 3 = 11/4 · 1/3 = 11 · 1/4 · 3 = 11/12 dividing two fractions is the exact same as multiplying the very first fraction through the reciprocal worth of the 2nd fraction. The very first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/1 is 1/3) of the 2nd fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the adhering to intermediate step, the fraction result can not be further simplified through canceling.In other words - eleven quarters separated by three = eleven twelfths.
Rules because that expressions v fractions: Fractions - just use a front slash between the numerator and denominator, i.e., for five-hundredths, go into 5/100. If you are using blended numbers, be sure to leave a single space between the totality and portion part.The cut separates the numerator (number over a portion line) and denominator (number below).Mixed numerals (mixed fractions or blended numbers) create as essence separated through one room and fraction i.e., 12/3 (having the same sign). An instance of a an adverse mixed fraction: -5 1/2.Because cut is both indicators for fraction line and also division, us recommended use colon (:) as the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal allude . and they are automatically converted to fractions - i.e. 1.45.The colon : and slash / is the price of division. Deserve to be offered to divide blended numbers 12/3 : 43/8 or can be provided 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 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• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• spring exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• splitting integer and 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 %• comparing fractions: 1/4 2/3• multiplying a portion by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simple the portion (simplification) - dividing the numerator and denominator that a portion by the very same non-zero number - identical fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 that 5/7• fractions multiple: 2/3 of 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order that operations. The most common mnemonics for remembering this stimulate 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 signs - base (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, constantly do multiplication and division prior to addition and subtraction. Some operators (+ and also -) and (* and /) has the same priority and also then need to evaluate indigenous left come right.