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When the positive integer k is divided by the positive integer n, the remainder is 11 . If \frac{k}{n} = 81.2 , what is the value of n ?

Explanation	Calculations	Help
$We translate the statement about the remainder when k is divided by n into an equation using a quotient q and remainder r .$	$k = n \times q + 11$	Theory & Tactics Method Card TRANS5-F Click to view full details
$We interpret the decimal result of the division to identify its integer part (the quotient) and fractional part (the remainder over the divisor).$	$\frac{k}{n} = 81.2 = 81 + 0.2$	Theory & Tactics Method Card DIV8 Click to view full details
$We convert the fractional part into a common fraction. This will match the form remainder over divisor.$	$0.2 = \frac{2}{10} = \frac{1}{5}$	Theory & Tactics Method Card FDPR1-A Click to view full details
$We set the fraction representing the remainder over the divisor equal to and solve for .$	$\frac{11}{n} = \frac{1}{5} n = 11 \times 5 = 55$

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55

When the positive integer k is divided by the positive integer n, the remainder is 11 . If \frac{k}{n} = 81.2 , what is the value of n ?

Explanation	Calculations	Help
$We translate the statement about the remainder when k is divided by n into an equation using a quotient q and remainder r .$	$k = n \times q + 11$	Theory & Tactics Method Card TRANS5-F Click to view full details
$We interpret the decimal result of the division to identify its integer part (the quotient) and fractional part (the remainder over the divisor).$	$\frac{k}{n} = 81.2 = 81 + 0.2$	Theory & Tactics Method Card DIV8 Click to view full details
$We convert the fractional part into a common fraction. This will match the form remainder over divisor.$	$0.2 = \frac{2}{10} = \frac{1}{5}$	Theory & Tactics Method Card FDPR1-A Click to view full details
$We set the fraction representing the remainder over the divisor equal to and solve for .$	$\frac{11}{n} = \frac{1}{5} n = 11 \times 5 = 55$

Scroll horizontally to view all columns

55