The problem asks to find what fraction of 1 meter is 30 centimeters, and to express the answer in its simplest form.

1. Problem Description

The problem asks to find what fraction of 1 meter is 30 centimeters, and to express the answer in its simplest form.

2. Solution Steps

First, we need to convert both quantities to the same unit. Since 1 meter = 100 centimeters, we can express everything in centimeters.

So, we want to find what fraction of 100 cm is 30 cm. This can be written as the fraction $\frac{30}{100}$.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 30 and 100 is

1

0. Dividing both the numerator and denominator by 10 gives:

$\frac{30 \div 10}{100 \div 10} = \frac{3}{10}$.

3. Final Answer

$\frac{3}{10}$