Question

How do you convert \[4.5\] feet into inches?

Answer 1

Hint:
The given question is about to convert the given feet into inches. It means we had given some value of feet and we had to find out the equivalent of that feet in inches. For doing this, we should be very much clear about the relation between feet and inches.

Complete Step by step Solution:
The given question is to convert the given feet into inches. For doing this, we should be very much clear about the relationship between feet and inches.
There are \[12\] inches in a foot which means \[1feet = 12inches\].
Therefore, as asked in the question, we had to convert given feet to inches.
Since, \[1feet = 12inches\], the given value of feet is multiplied by \[12\] to get the value of inches.
As in question, we had asked how many inches are there in \[4.5\] feet.
Since, we had discussed that \[1feet = 12inches\], we want to find \[4.5\] feet.
Therefore, \[4.5feet = 12 \times 4.5inches\]
Now, we have to solve \[12 \times 4.5inches\], since the decimal is up to one digit from back, therefore it is divided by \[10\] and the decimal is removed.
So, \[12 \times 4.5\] becomes \[\dfrac{{12 \times 4.5}}{{10}}\]
Now, we make factors,
\[ \Rightarrow \dfrac{{2 \times 2 \times 3 \times 3 \times 3 \times 5}}{{2 \times 5}}\]
Where \[12 = 2 \times 2 \times 3\]
And \[45 = 3 \times 3 \times 5\]
And \[10 = 2 \times 5\]
Since, \[2 \times 5\] are common in numerator and denominator and get cancelled, we are left with \[2 \times 3 \times 3 \times 3\], which becomes \[54\] inches.

Therefore, \[4.5\] feet are equal to \[54\] inches.

Note:
The given question was to find out the given feet in inches. We have the rule for this type of conversion is that \[1\] foot is equal to \[12\] inches. But if we had to convert from inches to feet, we will divide by \[12\] because \[1feet = 12inches\] and \[1inch = \dfrac{1}{{12}}feet\].