The calculator performs straightforward and progressed operations with fractions, expressions through fractions an unified with integers, decimals, and also mixed numbers. It additionally shows in-depth step-by-step information about the fraction calculation procedure. Solve troubles with two, three, or more fractions and also numbers in one expression.

You are watching: 8 divided by 1/6

## Result:

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

Spelled an outcome in indigenous is five 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 separating two fountain is the very same as multiplying the first fraction through the reciprocal worth of the 2nd fraction. The very first sub-step is to discover the reciprocal (reverse the numerator and also denominator, mutual of 1/4 is 4/1) the the 2nd fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the adhering to intermediate step, publication by a typical factor the 4 offers 5/2. In various other words - five eighths separated by one 4 minutes 1 = five halfs.
Rules for expressions v fractions: Fractions - usage the cut “/” in between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you space using blended numbers, be sure to leave a solitary space in between the whole and portion part.The cut separates the molecule (number over a portion line) and also denominator (number below).Mixed numerals (mixed fountain or mixed numbers) write as non-zero integer separated through one an are and fraction i.e., 12/3 (having the same sign). An example of a an adverse mixed fraction: -5 1/2.Because slash is both signs for portion line and also division, we recommended usage colon (:) as the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) get in with a decimal allude . and also they are instantly converted to fractions - i.e. 1.45.The colon : and slash / is the price of division. Deserve to be supplied to divide blended numbers 12/3 : 43/8 or deserve to be used 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 ()<> is mathematical parentheses.The exponentiation/power symbol 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• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• adding fractions and also mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• to reduce or simple the fraction (simplification) - dividing the numerator and also denominator of a portion by the same non-zero number - indistinguishable fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fountain multiple: 2/3 the 3/5• divide to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules because that order that operations. The most usual mnemonics for remembering this bespeak of 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 signs - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. be careful, always do multiplication and also division before addition and also subtraction. Some operators (+ and -) and (* and also /) has actually the exact same priority and also then need to evaluate from left to right.

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