To convert yards to miles, we use the conversion factor that 1 mile is equal to 1,760 yards.
To convert 1,600 yards to miles, use the following calculation:
\[ \text{Miles} = \frac{\text{Yards}}{\text{Yards per mile}} = \frac{1,600 \text{ yards}}{1,760 \text{ yards/mile}} \]
Now, simplify the fraction:
\[ \text{Miles} = \frac{1,600}{1,760} \]
To simplify, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1,600 and 1,760 is 80.
\[ \frac{1,600 \div 80}{1,760 \div 80} = \frac{20}{22} \]
Next, we simplify \(\frac{20}{22}\) further:
\[ \frac{20 \div 2}{22 \div 2} = \frac{10}{11} \]
Thus, 1,600 yards is equal to \(\frac{10}{11}\) miles.
The final answer is:
\[ 1,600 \text{ yards} = \frac{10}{11} \text{ miles} \]
1 answer