To determine how much farther Mr. Lang has left to go, we first need to express the distances in a uniform format, preferably as improper fractions or decimal numbers. Given:
- The total distance between the two towns is [tex]\( 12 \frac{5}{8} \)[/tex] miles.
- Mr. Lang has driven [tex]\( 4 \frac{5}{12} \)[/tex] miles.
### Step 1: Convert the Mixed Numbers to Decimals
First, convert each mixed number to a decimal:
#### Total Distance Conversion
[tex]\[ 12 \frac{5}{8} \][/tex]
- The fractional part is [tex]\( \frac{5}{8} \)[/tex].
- Convert [tex]\( \frac{5}{8} \)[/tex] to a decimal:
[tex]\[ \frac{5}{8} = 0.625 \][/tex]
Thus,
[tex]\[ 12 \frac{5}{8} = 12 + 0.625 = 12.625 \][/tex]
#### Distance Driven Conversion
[tex]\[ 4 \frac{5}{12} \][/tex]
- The fractional part is [tex]\( \frac{5}{12} \)[/tex].
- Convert [tex]\( \frac{5}{12} \)[/tex] to a decimal:
[tex]\[ \frac{5}{12} \approx 0.4167 \][/tex]
Thus,
[tex]\[ 4 \frac{5}{12} = 4 + 0.4167 = 4.4167 \][/tex]
### Step 2: Calculate the Remaining Distance
Now, subtract the distance Mr. Lang has already driven from the total distance to find out how much farther he has left to go:
[tex]\[ 12.625 - 4.4167 \approx 8.2083 \][/tex]
### Final Answer
Therefore, Mr. Lang has approximately [tex]\( 8.2083 \)[/tex] miles left to drive.
