The problem asks to express $62\%$ as a fraction in simplest form.

ArithmeticFractionsPercentagesSimplificationGreatest Common Divisor
2025/4/18

1. Problem Description

The problem asks to express 62%62\% as a fraction in simplest form.

2. Solution Steps

First, write 62%62\% as a fraction:
62%=6210062\% = \frac{62}{100}
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The factors of 62 are 1, 2, 31, and
6

2. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and

1
0

0. The GCD of 62 and 100 is

2.
Divide both the numerator and denominator by 2:
62100=62÷2100÷2=3150\frac{62}{100} = \frac{62 \div 2}{100 \div 2} = \frac{31}{50}
The fraction 3150\frac{31}{50} is in simplest form because 31 is a prime number and does not divide
5
0.

3. Final Answer

3150\frac{31}{50}

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