Let's solve this step by step:
1. Convert Mixed Fractions to Improper Fractions and Decimals
- First, convert the distance from Lamahi to Kohalpur:
[tex]\( 120 \frac{1}{10} \text{ km} \)[/tex] can be written as [tex]\( 120 + \frac{1}{10} \text{ km} \)[/tex].
Converting the fraction to a decimal, [tex]\(\frac{1}{10} = 0.1\)[/tex].
So, the total distance from Lamahi to Kohalpur is:
[tex]\[
120 + 0.1 = 120.1 \text{ km}
\][/tex]
- Next, convert the distance from Kohalpur to Attariya:
[tex]\( 155 \frac{3}{4} \text{ km} \)[/tex] can be written as [tex]\( 155 + \frac{3}{4} \text{ km} \)[/tex].
Converting the fraction to a decimal, [tex]\(\frac{3}{4} = 0.75\)[/tex].
So, the total distance from Kohalpur to Attariya is:
[tex]\[
155 + 0.75 = 155.75 \text{ km}
\][/tex]
2. Calculate the Total Distance from Lamahi to Attariya
- The distance from Lamahi to Attariya is the sum of the distances from Lamahi to Kohalpur and from Kohalpur to Attariya:
[tex]\[
120.1 \text{ km} + 155.75 \text{ km}
\][/tex]
3. Add the Distances
Adding these distances together:
[tex]\[
120.1 + 155.75 = 275.85 \text{ km}
\][/tex]
So, the distance between Lamahi and Attariya is:
[tex]\[
275.85 \text{ km}
\][/tex]
