What fraction of 1 m is 70 cm? Give your answer in its lowest terms.
Understand the Problem
The question is asking for the fraction that 70 cm represents out of 1 meter (100 cm), requiring a conversion of units and simplification to lowest terms.
Answer
The fraction of 1 m that is 70 cm is \( \frac{7}{10} \).
Answer for screen readers
The fraction of 1 m that is 70 cm is ( \frac{7}{10} ).
Steps to Solve
- Identify the total and part quantities
The total length is 1 meter, which is equivalent to 100 cm. The part we are considering is 70 cm.
- Set up the fraction
The fraction representing 70 cm out of 1 meter is given by:
$$ \text{Fraction} = \frac{70 \text{ cm}}{100 \text{ cm}} $$
- Simplify the fraction
To simplify, we find the greatest common divisor (GCD) of 70 and 100, which is 10. We then divide both the numerator and the denominator by 10:
$$ \frac{70 \div 10}{100 \div 10} = \frac{7}{10} $$
The fraction of 1 m that is 70 cm is ( \frac{7}{10} ).
More Information
This fraction ( \frac{7}{10} ) shows that 70 cm is 70% of 1 meter. Understanding fractions and simplification is important in many areas, including cooking, construction, and measurements in various fields.
Tips
- Not converting units: Ensure to convert units if needed, though in this case, both values were in cm.
- Skipping the GCD step: It is crucial to simplify fractions correctly; missing this step can lead to incorrect answers.
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