Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.

The distance between two towns is [tex]$12 \frac{5}{8}$[/tex] miles. Mr. Lang has driven [tex]$4 \frac{5}{12}$[/tex] miles of the distance. How much farther does he have left to go?

[tex]\[\text{Answer:} \quad \text{miles}\][/tex]

Sagot :

GinnyAnsweridn
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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.