Questions: What is 0.28 written as a fraction in simplest form? 1/5 1/4 7/25 2 4/5

$What is 0.28 written as a fraction in simplest form? 1/5 1/4 7/25 2 4/5$

Transcript text: What is 0.28 written as a fraction in simplest form? $\frac{1}{5}$ $\frac{1}{4}$ $\frac{7}{25}$ $2 \frac{4}{5}$

Solution

Solution Steps

To convert a decimal to a fraction, we can express the decimal as a fraction with a denominator of a power of 10, and then simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

Step 1: Convert Decimal to Fraction

To convert the decimal $0.28$ to a fraction, we express it as: \[ \frac{28}{100} \]

Step 2: Simplify the Fraction

Next, we simplify the fraction $\frac{28}{100}$ by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of $28$ and $100$ is $4$. Thus, we divide both the numerator and the denominator by $4$: \[ \frac{28 \div 4}{100 \div 4} = \frac{7}{25} \]