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Divide the following: 1 Kg 825 g by 5

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Last updated date: 01st Mar 2024
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IVSAT 2024
Answer
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Hint: We have to find the divided value of 1 Kg 825 g by 5. Here the value of 1 Kg 825 g will be the numerator and the value of 5 will be the denominator of the fraction part. Using the GCD we find the simplified form.

Complete step by step answer:
We need to find the division of 1 Kg 825 g by 5.
In this case we first convert the unit of the 1 Kg 825 g to a single unit. We know that the relation between kilogram and gram is that 1 kilogram is equal to 1000 gram.
Therefore, 1 Kg 825 g will be equal to $1000+825=1825$ gram.
We now assume the value 1825 as the dividend and the value of 5 as the divisor.
The value of the division is $\dfrac{1825}{5}$.
We need to find the simplified form of the proper fraction $\dfrac{1825}{5}$.
Simplified form is achieved when the G.C.D of the denominator and the numerator is 1.
For any fraction $\dfrac{p}{q}$, we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $\dfrac{{}^{p}/{}_{d}}{{}^{q}/{}_{d}}$.
For our given fraction $\dfrac{1825}{5}$, the G.C.D of the denominator and the numerator is 5.
Now we divide both the denominator and the numerator with 5 and get $\dfrac{{}^{1825}/{}_{5}}{{}^{5}/{}_{5}}=\dfrac{365}{1}=365$.

The divided value of 1 Kg 825 g by 5 is 365 grams.

Note: we can also convert 1 Kg 825 g into kilogram form where 1825 grams is equal to $1.825$ kilogram. We now divide $1.825$ by 5 and we get $\dfrac{1.825}{5}=0.365$ kilogram. We can easily state that $0.365$ kilogram is equal to 365 grams.
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