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

You are watching: 7 divided by 1/6


Result:

8 1/6 / 1 7/8 = 196/45 = 4 16/45 ≅ 4.3555556

Spelled an outcome in words is one hundreds ninety-six forty-fifths (or four and sixteen forty-fifths).
switch a blended number 8 1/6 to a not correct fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6 = 48 + 1/6 = 49/6To discover a new numerator:a) main point the totality number 8 by the denominator 6. Entirety number 8 same 8 * 6/6 = 48/6b) add the answer native previous step 48 come the molecule 1. New numerator is 48 + 1 = 49c) compose a previous answer (new molecule 49) end the denominator 6.Eight and also one sixth is forty-nine sixths switch a combined number 1 7/8 to a not correct fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8 = 15/8To uncover a new numerator:a) multiply the entirety number 1 through the denominator 8. Whole number 1 same 1 * 8/8 = 8/8b) include the answer indigenous previous action 8 come the numerator 7. Brand-new numerator is 8 + 7 = 15c) write a previous prize (new molecule 15) over the denominator 8.One and seven eighths is fifteen eighths Divide: 49/6 : 15/8 = 49/6 · 8/15 = 49 · 8/6 · 15 = 392/90 = 2 · 196 /2 · 45 = 196/45 dividing two fractions is the very same as multiplying the an initial fraction by the reciprocal worth of the 2nd fraction. The very first sub-step is to uncover the reciprocal (reverse the numerator and denominator, mutual of 15/8 is 8/15) that the second fraction. Next, main point the two numerators. Then, multiply the 2 denominators. In the adhering to intermediate step, cancel by a usual factor of 2 provides 196/45. In other words - forty-nine sixths split by fifteen eighths = one hundreds ninety-six forty-fifths.
Rules because that expressions with fractions: Fractions - merely use a front slash between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you room using mixed numbers, be certain to leave a solitary space between the whole and fraction part.The slash separates the numerator (number above a fraction line) and denominator (number below).Mixed numerals (mixed fractions or blended numbers) create as essence separated by one room and fraction i.e., 12/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.Because cut is both indications for fraction line and also division, we recommended usage colon (:) as the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) get in with a decimal point . and also they are instantly converted to fountain - i.e. 1.45.The colon : and slash / is the symbol of division. Have the right to be supplied to divide mixed numbers 12/3 : 43/8 or have the right to be offered for write complex fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol because that 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: • adding fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiply fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• spring exponents: 16 ^ 1/2• including fractions and also mixed numbers: 8/5 + 6 2/7• splitting integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• portion to Percent: 1/8 %• compare fractions: 1/4 2/3• multiplying a portion by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reducing or simplifying the portion (simplification) - splitting the numerator and denominator of a portion by the very same non-zero number - tantamount fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fountain multiple: 2/3 of 3/5• division to uncover the quotient: 3/5 ÷ 2/3The calculator follows well-known rules for order of operations. The most common mnemonics for remembering this stimulate of to 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. be careful, constantly do multiplication and division before addition and subtraction. Some operators (+ and also -) and also (* and /) has the very same priority and then should evaluate native left come right.

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