Question

Find the ratio of the following 360 gm to 18 kg.

Answer 1

Hint: Here we use some examples of ratio, 9 is the fourth part of 36, just as 7 is the fourth part of 28. We will now introduce this symbol 9:36 to signify the ratio of 9 to 36. Now, we calculate the ratio of the following 360 gm to 18 kg.

Complete step-by-step answer:
From the question, the ratio of the 360 gm to 18 kg that can be expressed by 360 gm:18kg.
Here we use the conversion of units. That is, we know 1 kg is equal to 1000 gm.
The ratio of the 360 gm. to 18 kg can be expressed by $\dfrac{{360{\rm{ gm}}}}{{18{\rm{ kg}}}}$.
Now, we calculate the ratio of the 360 gm. to 18 kg by substituting the conversion unit value $18{\rm{ kg}} = 18,000{\rm{ gm}}$.
$\dfrac{{360{\rm{ gm}}}}{{18{\rm{ kg}}}} = \dfrac{{360}}{{18 \times 1000}}$
 =$ \dfrac{{20}}{{1000}}$
 = $\dfrac{1}{{50}}$
Hence, the ratio of the 360 gm. to 18 kg is \[\dfrac{1}{{50}}\].

Additional information: Here we know 1 kg is equal to 1000 gm. A ratio shows the number of times a number includes another number. When, as is often the case, two quantities are determined using the same unit, their ratio is a dimensionless number. A rate is called a quotient of two quantities that are determined by different units.

Note: Here we can calculate the ratio in terms of gram also. Now, use the unit conversion rule that all the units are in the same units. We can convert the units in grams. Like we know the 1 gm. is equal to ${10^{ - 3}}$ kg. So, we substitute the values $\dfrac{{360{\rm{ gm}}}}{{18{\rm{ kg}}}} = \dfrac{{360 \times {{10}^{ - 3}}}}{{18}}$ and then obtain the result.