Question

How do you convert $3{\text{ miles to yards?}}$

Answer 1

Hint:
In the given question, we have to find out how many yards are there in three miles.
For doing this type of conversion, we should know about the relation between yards and miles. After knowing this we will calculate how many yards are there in three miles.

Complete Step by step Solution:
In the given question, we have to find out the relationship between yards and miles. We have to find out how many yards are there in three miles.
First of all we have to know about the relation between yards and miles.
$1$ Mile is equal to $1760{\text{ yards}}$.
Since there are $1760{\text{ yards}}$ in ${\text{1 mile}}$ and hence we can calculate from here how many feet are there in ${\text{3 mile}}$.
Therefore we can say
$1{\text{ }}miles = 1760{\text{ }}yards$
Multiplying both sides by $3$ because we want to know that for many yards are needed there for ${\text{3 mile}}$.
So, we get
\[1 \times 3{\text{ }}miles = 1760 \times 3{\text{ }}yards\]
and we get
\[3{\text{ }}miles = 5280{\text{ }}yards\]

which means there are \[5280{\text{ }}yards\]in \[3{\text{ }}miles\]

Note:
The given question was about how many yards are there in $3{\text{ miles}}$.
For this, we have to use the relation between yards and miles and we came to know that we came to know that $1{\text{ mile}}$ is equal to$1760{\text{ yards}}$. Also we can say from this that $1{\text{ yard = }}\dfrac{1}{{1760}}{\text{ yards}}$. This is used for conversion.