 Simplify the following ratio: 1,35 kg : 150 g.Show all calculations. USE THE GRADE 9 METHOD OF CALCULATIO

To simplify the ratio \(1.35 \, \text{kg} : 150 \, \text{g}\) using the Grade 9 method, we first need to express both quantities in the same unit. We'll convert kilograms to grams.

### Step 1: Convert 1.35 kg to grams
We know that:
\[ 1 \, \text{kg} = 1000 \, \text{g} \]

So:
\[ 1.35 \, \text{kg} = 1.35 \times 1000 \, \text{g} = 1350 \, \text{g} \]

### Step 2: Rewrite the ratio with the same units
Now the ratio is:
\[ 1350 \, \text{g} : 150 \, \text{g} \]

### Step 3: Simplify the ratio
To simplify, divide both sides of the ratio by the greatest common divisor (GCD) of 1350 and 150. First, find the GCD.

- **Factors of 1350**: \(1350 = 2 \times 3 \times 3 \times 5 \times 5 \times 3\)
- **Factors of 150**: \(150 = 2 \times 3 \times 5 \times 5\)

The GCD of 1350 and 150 is \(150\).

Now, divide both numbers by 150:
\[
\frac{1350 \, \text{g}}{150 \, \text{g}} : \frac{150 \, \text{g}}{150 \, \text{g}} = 9 : 1
\]

### Final Answer:
The simplified ratio is \(9 : 1\).

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Do you want more details or have any questions?

Here are five related questions for further practice:
1. Simplify the ratio \( 2.5 \, \text{kg} : 200 \, \text{g} \).
2. If you have a ratio of \( 750 \, \text{g} : 1.5 \, \text{kg} \), how would you simplify it?
3. Convert and simplify the ratio \( 0.85 \, \text{kg} : 170 \, \text{g} \).
4. Simplify \( 500 \, \text{g} : 2 \, \text{kg} \).
5. What is the ratio of \( 2.7 \, \text{kg} : 300 \, \text{g} \) in its simplest form?

**Tip:** Always convert quantities to the same unit before simplifying ratios.

Simplify the following ratio: 1.35 kg : 150 g. Show all calculations. USE THE GRADE 9 METHOD OF CALCULATION.

Learn how to simplify the ratio 1.35 kg : 150 g by converting units and using the Greatest Common Divisor (GCD) method. This step-by-step guide is designed for Grade 9 students, covering key concepts such as unit conversion and ratio simplification.

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