Question

Find ratio of 15 kg to 210 gm.

Answer 1

Hint: Since, $1\,kg = 1000\,gm$. Convert kg into grams or grams into kgs for convenient calculation.


Complete step by step solution:
Firstly, convert kg into gm as according to the concept of ratio, we can convert the units either in gm or in kg. So that the ratio comes out to be in the same form i.e. in the same units.
$
  1\,kg = 1000\,gm \\
  15\,kg = 15 \times 1000 = 15,000\,gm \\
 $
To find ratio of 15 kg to 210 gm, we have
$
   = 15\,kg:210\,g \\
   = \dfrac{{15000}}{{210}}.........(1) \\
 $
Now, factors of 1500 are $3 \times 5 \times 10 \times 100$
Factors of 210 are $3 \times 7 \times 10$
Now substituting the factors in (1), we get
$ = \dfrac{{3 \times 5 \times 10 \times 100}}{{3 \times 7 \times 10}}$
Canceling out the like terms, we get
\[
   = \dfrac{{3 \times 5 \times 10 \times 100}}{{3 \times 7 \times 10}} \\
   = \dfrac{{500}}{7} \\
   = 500:7 \\
 \]


Note: Students must be careful while solving the questions related to ratios as the ratio is dimensionless number. Therefore, students must convert the number in the same units to avoid error while solving.