The problem asks us to express 70 cm as a fraction of 1 m, and simplify the fraction to its lowest terms.

ArithmeticFractionsUnit ConversionSimplificationGreatest Common Divisor (GCD)
2025/5/5

1. Problem Description

The problem asks us to express 70 cm as a fraction of 1 m, and simplify the fraction to its lowest terms.

2. Solution Steps

First, we need to convert both quantities to the same unit. Since 1 m = 100 cm, we will express both in cm. So we have 70 cm and 100 cm.
The fraction is then 70 cm100 cm=70100\frac{70 \text{ cm}}{100 \text{ cm}} = \frac{70}{100}.
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 70 and 100 is
1

0. Dividing both by 10, we get $\frac{70 \div 10}{100 \div 10} = \frac{7}{10}$.

3. Final Answer

The fraction of 1 m that is 70 cm, in its simplest form, is 710\frac{7}{10}.

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