The calculator performs straightforward and progressed operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows in-depth step-by-step information around the fraction calculation procedure. Solve difficulties with two, three, or an ext fractions and numbers in one expression.

You are watching: 5/8 divided by 1/4


Result:

(5/8) : (1/4) = 5/2 = 2 1/2 = 2.5

Spelled result in native is 5 halfs (or two and one half).
Divide: 5/8 : 1/4 = 5/8 · 4/1 = 5 · 4/8 · 1 = 20/8 = 4 · 5 /4 · 2 = 5/2 dividing two fractions is the same as multiplying the an initial fraction by the reciprocal worth of the 2nd fraction. The very first sub-step is to find the mutual (reverse the numerator and denominator, mutual of 1/4 is 4/1) the the 2nd fraction. Next, main point the 2 numerators. Then, multiply the 2 denominators. In the adhering to intermediate step, publication by a common factor of 4 provides 5/2. In various other words - five eighths split by one quarter = five halfs.
Rules for expressions through fractions: Fractions - merely use a forward slash between the numerator and also denominator, i.e., because that five-hundredths, go into 5/100. If you space using mixed numbers, be sure to leave a single space between the entirety and portion part.The slash separates the numerator (number over a fraction line) and denominator (number below).Mixed numerals (mixed fractions or mixed numbers) write as creature separated by one room and fraction 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 portion line and also division, us recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) go into with a decimal point . and also they are automatically converted to fountain - i.e. 1.45.The colon : and slash / is the prize of division. Have the right to be used to divide mixed numbers 12/3 : 43/8 or can be offered for write complex 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 mathematics parentheses.The exponentiation/power symbol 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• multiply fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• splitting 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• multiply a fraction by a totality number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simple the portion (simplification) - dividing the numerator and denominator of a fraction by the very same non-zero number - equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fractions multiple: 2/3 that 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows renowned rules for order that operations. The most typical mnemonics because that remembering this bespeak 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 - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. be careful, constantly do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has actually the exact same priority and then should evaluate native left to right.

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