Question

Find ratio of \[750 gram\] and\[\dfrac{1}{2}kg\].

Answer 1

Hint:
Gram (g) and Kilogram (Kg) is basically the unit of measurement for mass and weight. Gram is used to measure light objects whereas kilogram is used to measure comparatively heavy objects. They are basically related as\[1Kg = 1000gram\]. Now, we have to find the ratio which represents how many times one quantity contains the other. The ratio is always measured in the same units where either of the units is converted to make it similar to the other units as ratios are dimensionless.

Complete step by step solution:
For the ratio to be properly determined, the quantities should be in the same measuring unit. As both the quantities are in different units we need to convert either of the units to relate it to other by conversion of units. Here, units are in kilogram and gram which are the units of measurement of mass and weight therefore, we will have to convert gram to kilogram or kilogram to gram to make the similar units.
 Since, \[1Kg = 1000gram\]
Therefore, we convert \[\dfrac{1}{2}kg\] to grams,
\[
  \dfrac{1}{2}kg = \dfrac{1}{2} \times 1000gram \\
   = 500gram \\
 \]
Now, both the quantities are in the same unit, so we will find the ratio as we know the ratio of two quantities $a$ and $b$ is represented as \[\dfrac{a}{b}\] .
So, \[750gram\] and \[500gram\] can be represented as:
\[\dfrac{{750}}{{500}} = \dfrac{{150}}{{100}} = \dfrac{3}{2}\]
Hence, the ratio of \[750gram\] and \[500gram\] will be \[\dfrac{3}{2}\]also represented as 3:2.

Note:
Whenever we have to find the ratio between the quantities we bring the quantities to the same units to eliminate any confusion and divide the quantities to determine the ratio.