The calculator performs an easy and progressed operations through fractions, expressions v fractions combined with integers, decimals, and mixed numbers. It likewise shows thorough step-by-step information about the portion calculation procedure. Solve difficulties with two, three, or much more fractions and numbers in one expression.

You are watching: What is the quotient of 7^-1/7^-2


Result:

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

Spelled an outcome in native is one hundred ninety-six forty-fifths (or four and sixteen forty-fifths).
counter a combined number 8 1/6 come a wrong fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6 = 48 + 1/6 = 49/6To find a new numerator:a) multiply the totality number 8 through the denominator 6. Entirety number 8 equally 8 * 6/6 = 48/6b) include the answer from previous action 48 to the molecule 1. New numerator is 48 + 1 = 49c) compose a previous price (new molecule 49) over the denominator 6.Eight and one 6th is forty-nine sixths counter a combined number 1 7/8 to a wrong fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8 = 15/8To uncover a new numerator:a) main point the entirety number 1 through the denominator 8. Totality number 1 same 1 * 8/8 = 8/8b) add the answer native previous action 8 to the numerator 7. New numerator is 8 + 7 = 15c) create a previous prize (new numerator 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 splitting two fractions is the exact same as multiplying the first fraction through the reciprocal worth of the second fraction. The first sub-step is to find the mutual (reverse the numerator and denominator, reciprocal of 15/8 is 8/15) the the second fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the following intermediate step, publication by a usual factor the 2 gives 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 in between the numerator and also denominator, i.e., for five-hundredths, enter 5/100. If you are using combined numbers, be sure to leaving a solitary space in between the whole and fraction part.The slash separates the numerator (number above a fraction line) and also denominator (number below).Mixed numerals (mixed fountain or mixed numbers) create as integer separated through one room and fraction i.e., 12/3 (having the same sign). An instance of a negative mixed fraction: -5 1/2.Because cut is both indications for portion line and also division, we recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal allude . and they are instantly converted to fractions - i.e. 1.45.The colon : and slash / is the price of division. Have the right to be offered to divide combined numbers 12/3 : 43/8 or can be supplied 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 ^ - 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• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• separating integer and fraction: 5 ÷ 1/2• facility 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• multiplying a portion by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simple the fraction (simplification) - dividing the numerator and also denominator that a portion by the exact same non-zero number - equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 that 5/7• fountain multiple: 2/3 of 3/5• divide to uncover the quotient: 3/5 ÷ 2/3The calculator follows popular rules because that order the operations. The most common mnemonics because that remembering this order 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.

See more: What Is The Land Along The Edge Of A Body Of Water Crossword Clue Answers

GEMDAS - Grouping icons - base (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and division prior to addition and subtraction. Part operators (+ and also -) and (* and also /) has the very same priority and also then have to evaluate native left come right.

Fractions in word problems:

next math problems »