What fraction of 1 m is 70 cm? Give your answer in its lowest terms.
Understand the Problem
The question is asking to find what fraction of 1 meter is equivalent to 70 centimeters, and to express that fraction in its simplest form.
Answer
The fraction of 1 meter that is 70 centimeters is $\frac{7}{10}$.
Answer for screen readers
The fraction of 1 meter that is equivalent to 70 centimeters is $\frac{7}{10}$.
Steps to Solve
- Identify the conversion between meters and centimeters
Since 1 meter is equal to 100 centimeters, we can use this conversion to find the fraction.
- Set up the fraction
We need to express 70 centimeters as a fraction of 1 meter. This can be set up as: $$ \frac{70 \text{ cm}}{100 \text{ cm}} $$
- Simplify the fraction
To simplify the fraction, find the greatest common divisor (GCD) of 70 and 100, which is 10. Now divide both the numerator and the denominator by 10: $$ \frac{70 \div 10}{100 \div 10} = \frac{7}{10} $$
The fraction of 1 meter that is equivalent to 70 centimeters is $\frac{7}{10}$.
More Information
This fraction, $\frac{7}{10}$, indicates that 70 centimeters is 7 tenths of a whole meter. Understanding measurements and conversions is essential in many real-world applications, such as construction and design.
Tips
- Not converting units correctly: Make sure to remember that 1 meter equals 100 centimeters.
- Failing to simplify: Always check if the fraction can be reduced to its simplest form.
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