The problem asks us to express 88% as a fraction in its simplest form. We are given that 88% is equal to the decimal 0.88.

ArithmeticFractionsPercentageSimplifying FractionsGreatest Common Divisor
2025/4/18

1. Problem Description

The problem asks us to express 88% as a fraction in its simplest form. We are given that 88% is equal to the decimal 0.
8
8.

2. Solution Steps

First, we can express 88% as a fraction by dividing by 100:
88%=8810088\% = \frac{88}{100}
Now we simplify the fraction. We need to find the greatest common divisor (GCD) of 88 and
1
0

0. The factors of 88 are 1, 2, 4, 8, 11, 22, 44, and

8

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

1
0

0. The GCD of 88 and 100 is

4.
We divide both the numerator and denominator by 4:
88100=88÷4100÷4=2225\frac{88}{100} = \frac{88 \div 4}{100 \div 4} = \frac{22}{25}
The fraction 2225\frac{22}{25} is in its simplest form because 22 and 25 have no common factors other than
1.

3. Final Answer

2225\frac{22}{25}

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