https://file.aiquickdraw.com/mathbot/file/1727327738215p8posg95.jpg

Let's solve the problems in the image:

### Problem 1a:
\[
\frac{1/2 \text{ foot}}{4 \text{ inches}}
\]

**Step 1: Convert units to be the same.**
We know that 1 foot = 12 inches. So, \( \frac{1}{2} \text{ foot} = \frac{1}{2} \times 12 = 6 \text{ inches} \).

Now the expression becomes:
\[
\frac{6 \text{ inches}}{4 \text{ inches}}
\]

**Step 2: Simplify.**
The inches cancel out, and we are left with:
\[
\frac{6}{4} = \frac{3}{2} = 1.5
\]

**Answer for 1a: 1.5**

---

### Problem 1b:
\[
\frac{6000 \text{ liters}}{12 \text{ kiloliters}}
\]

**Step 1: Convert units to be the same.**
We know that 1 kiloliter = 1000 liters. So, \( 12 \text{ kiloliters} = 12 \times 1000 = 12000 \text{ liters} \).

Now the expression becomes:
\[
\frac{6000 \text{ liters}}{12000 \text{ liters}}
\]

**Step 2: Simplify.**
The liters cancel out, and we are left with:
\[
\frac{6000}{12000} = \frac{1}{2} = 0.5
\]

**Answer for 1b: 0.5**

---

Would you like further explanation on any of these steps?

### Related Questions:
1. How many inches are there in 3 feet?
2. Convert 5 yards into inches.
3. What is the equivalent of 2.5 kiloliters in liters?
4. Simplify \( \frac{8 \text{ feet}}{32 \text{ inches}} \) using unit conversion.
5. Convert 7000 milliliters into kiloliters.

**Tip:** When converting units, always ensure that both numerator and denominator are in the same units to cancel them easily.

Simplify the expressions using unit conversions. Show units in work. a) 1/2 foot divided by 4 inches. b) 6000 liters divided by 12 kiloliters.

Learn how to simplify expressions by converting units. This problem involves converting 1/2 foot to inches and dividing by 4 inches, and converting liters to kiloliters. Suitable for students in Grades 5-7.

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