You are watching: 4 divided by 2/5
Divide: 2 : 4/5 = 2/1 · 5/4 = 2 · 5/1 · 4 = 10/4 = 2 · 5 /2 · 2 = 5/2 splitting two fractions is the same as multiplying the an initial fraction through the reciprocal worth of the second fraction. The an initial sub-step is to discover the mutual (reverse the numerator and denominator, reciprocal of 4/5 is 5/4) of the second fraction. Next, main point the two numerators. Then, multiply the two denominators. In the next intermediate step, , publication by a usual factor the 2 offers 5/2. In words - two split by four fifths = five halfs.
Rules because that expressions through fractions: Fractions - use the cut “/” in between the numerator and also denominator, i.e., because that five-hundredths, get in 5/100. If you space using combined numbers, be certain to leave a solitary space between the totality and portion part.The slash separates the molecule (number over a portion line) and also denominator (number below).Mixed numerals (mixed fractions or blended numbers) create as non-zero essence separated through one space and portion i.e., 12/3 (having the exact same sign). An instance of a an adverse mixed fraction: -5 1/2.Because cut is both signs for fraction line and also division, us recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal point . and they are immediately converted to fountain - i.e. 1.45.The colon : and also slash / is the prize of division. Deserve to be provided to divide blended 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 because that multiplication.Plus + is addition, minus sign - is subtraction and also ()<> is mathematical parentheses.The exponentiation/power price is ^ - for 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• separating Fractions: 1/2 : 3/4• exponentiation 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• fraction to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiply a fraction by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simplifying the fraction (simplification) - dividing the numerator and also denominator the a fraction by the same non-zero number - equivalent fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 of 5/7• fountain multiple: 2/3 that 3/5• division to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order that operations. The most common mnemonics because that remembering this order of work are: PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS - Brackets, that or Order, Division, Multiplication, Addition, Subtraction.
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GEMDAS - Grouping signs - base (), Exponents, Multiplication, Division, Addition, Subtraction. be careful, constantly do multiplication and also division before addition and subtraction. Part operators (+ and also -) and also (* and /) has actually the exact same priority and then have to evaluate from left come right.