What fraction of a $K i l o g r a m$ is $550 g r a m s$ ?

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Solution

Finding the fraction :
We know that, $1 k i l o g r a m = 1000 g r a m s$
$\Rightarrow$ $\frac{1}{1000} k i l o g r a m = 1 g r a m$ ( dividing both the sides by $1000$ )
$\Rightarrow$ $\frac{550}{1000} k i l o g r a m = 550 g r a m$ ( multiplying both the sides by $550$ )
$\Rightarrow$ $550 g r a m = \frac{550}{1000} k i l o g r a m$
$\Rightarrow$ $550 g r a m = (\frac{550 \div 50}{1000 \div 50}) k i l o g r a m$ ( dividing the numerator and denominator of the right-hand side by $50$ to simplify the fraction)
$\Rightarrow$ $550 g r a m = \frac{11}{20} k i l o g r a m$

Hence, $550 g r a m s$ is $\frac{550}{1000}$ or $\frac{11}{20}$ of a $K i l o g r a m$ .

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