Question

How do you write $15\text{ }ft\text{ }6\text{ }in.$ in terms of feet?

Answer 1

Hint: In this question, we have to find the feet from the inches. Feet and inches are standard international units, used to measure the height of an object. So, in this question, we will apply the basic mathematical rules to get the required answer. We will first apply the formula $1\text{ }feet=12\text{ }inches$ and then divide both sides of equation 12. After further calculations, we will again multiply the equation by 6, to get the feet from the inches. Then, we will form a mixed fraction and convert it into decimal form, which is our required solution to the problem.

Complete step by step answer:
According to the question, we have to find the measure of feet from the inches.
So, we will apply the feet-inches formula to get the same result.
The term given to us is $15\text{ }ft\text{ }6\text{ }in.$ --------- (1)
So, now we will apply the formula of feet-inches, which is
$1\text{ }feet=12\text{ }inches$
Now, we will divide 12 on both sides in the above equation, we get
$\dfrac{1}{12}\text{ }feet=\dfrac{12}{12}\text{ }inches$
As we know, the same terms in the numerator and denominator cancel out and give the quotient equal to 1, therefore on the right-hand side of the above equation, we get
$\dfrac{1}{12}\text{ }feet=1\text{ }inches$
Now, we will again multiply both sides of the equation by 6, we will get
$\Rightarrow \dfrac{1}{12}\times \text{6 }feet=1\times 6\text{ }inches$
On further solving, we get
$\Rightarrow \dfrac{6}{12}\text{ }feet=6\text{ }inches$
As we know, on the left-hand side of the above equation, both the numerator and denominator have the common factor of, therefore on further simplification we get
$\Rightarrow \dfrac{1}{2}\text{ }feet=6\text{ }inches$ ---------- (2)
Therefore, from equations (1) and (2), we get
$\Rightarrow 15\dfrac{1}{2}\text{ }feet$
On converting the above-mixed fraction into the simplest fraction, we will get
$\Rightarrow \dfrac{31}{2}\text{ }feet$
Therefore, in decimal representation, we get
$\Rightarrow 15.5\text{ }feet$
Thus, $15.5\text{ }feet$ is the conversion for the term $15\text{ }ft\text{ }6\text{ }in.$.

Note: While solving this problem, do mention the units to avoid mistakes and do the step-by-step calculations. For converting the mixed fraction into the simplest fraction, multiply the denominator with the whole number and then add the numerator in it, which will become the new numerator, and thus you will get the simplest fraction.