To simplify the ratio of 1.5 kg to 150 g, we need to have both values in the same unit. Since 1 kilogram (kg) is equal to 1000 grams (g), we can convert 1.5 kg to grams:

\[
1.5 \, \text{kg} = 1.5 \times 1000 \, \text{g} = 1500 \, \text{g}
\]

Now, the ratio becomes:

\[
1500 \, \text{g} : 150 \, \text{g}
\]

We can simplify this ratio by dividing both numbers by the greatest common divisor (GCD), which is 150:

\[
\frac{1500}{150} : \frac{150}{150} = 10 : 1
\]

So, the simplified ratio of 1.5 kg to 150 g is **10:1**.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you convert between different units of measurement?
2. What is the process for finding the greatest common divisor (GCD)?
3. How can ratios be used to compare quantities in real-life scenarios?
4. What are equivalent ratios, and how are they determined?
5. How do you solve problems involving proportional relationships?

**Tip:** When simplifying ratios, always make sure both quantities are in the same unit.

Learn how to simplify the ratio of 1.5 kg to 150 g by converting units and applying the greatest common divisor (GCD). This problem is suitable for students in Grades 6-8 and covers key concepts such as unit conversion and ratio simplification.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation