The calculator performs straightforward and progressed operations with fractions, expressions v fractions an unified with integers, decimals, and also mixed numbers. It additionally shows detailed step-by-step information about the portion calculation procedure. Solve difficulties with two, three, or an ext fractions and also numbers in one expression.

You are watching: 4 divided by 8 as a fraction

## Result:

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

Spelled result in indigenous is one hundred ninety-six forty-fifths (or four and sixteen forty-fifths).
switch a mixed number 8 1/6 come a not correct fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6 = 48 + 1/6 = 49/6To find a new numerator:a) main point the whole number 8 by the denominator 6. Totality number 8 equally 8 * 6/6 = 48/6b) include the answer native previous action 48 come the molecule 1. New numerator is 48 + 1 = 49c) create a previous prize (new numerator 49) end the denominator 6.Eight and one 6th is forty-nine sixths conversion a combined number 1 7/8 come a not correct fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8 = 15/8To discover a new numerator:a) main point the entirety number 1 by the denominator 8. Totality number 1 same 1 * 8/8 = 8/8b) include the answer native previous step 8 come the numerator 7. Brand-new numerator is 8 + 7 = 15c) compose a previous price (new molecule 15) end 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 splitting two fountain is the very same as multiplying the first fraction by the reciprocal value of the 2nd fraction. The an initial sub-step is to discover the reciprocal (reverse the numerator and denominator, mutual of 15/8 is 8/15) the the 2nd fraction. Next, main point the two numerators. Then, main point the 2 denominators. In the complying with intermediate step, release by a common factor of 2 offers 196/45. In various other words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.
Rules because that expressions v fractions: Fractions - simply use a forward slash between the numerator and denominator, i.e., because that five-hundredths, go into 5/100. If you are using combined numbers, be certain to leave a single space between the whole and portion part.The cut separates the molecule (number over a fraction line) and also denominator (number below).Mixed numerals (mixed fractions or blended numbers) write as integer separated by 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 cut is both indications for fraction line and division, we recommended usage colon (:) as the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) go into with a decimal suggest . and they are automatically converted to fractions - i.e. 1.45.The colon : and also slash / is the price of division. Can be used to divide combined numbers 12/3 : 43/8 or can be offered 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 ()<> is mathematics 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• multiply fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• spring exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• portion to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiply a portion by a entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simplifying the portion (simplification) - separating the numerator and denominator the a fraction by the exact same non-zero number - equivalent 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 find the quotient: 3/5 ÷ 2/3The calculator follows popular rules because that order of operations. The most usual mnemonics because that 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 icons - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and also division prior to addition and also subtraction. Part operators (+ and -) and also (* and /) has actually the very same priority and also then should evaluate from left come right.

## Fractions in indigenous problems:

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