Certainly! Let's go through the steps in detail.
1. Fraction Representation:
Mr. Creswell surveyed his class and found that 12 out of 30 students have at least one pet. This can be written as a fraction:
[tex]\[
\frac{12}{30}
\][/tex]
2. Simplifying the Fraction:
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (30) and then divide both by this GCD.
The GCD of 12 and 30 is 6. So, we divide both the numerator and the denominator by 6:
[tex]\[
\frac{12 \div 6}{30 \div 6} = \frac{2}{5}
\][/tex]
Therefore, the fraction representing the number of students who have at least one pet, in its simplest form, is:
[tex]\[
\frac{2}{5}
\][/tex]
3. Converting the Fraction to a Decimal:
To convert the fraction [tex]\(\frac{2}{5}\)[/tex] into a decimal, we perform the division:
[tex]\[
2 \div 5 = 0.4
\][/tex]
Therefore, the decimal representation of the fraction [tex]\(\frac{2}{5}\)[/tex] is:
[tex]\[
0.4
\][/tex]
So, the number of students who have at least one pet, written as a fraction in simplest form, is [tex]\(\frac{2}{5}\)[/tex], and as a decimal, it is 0.4.
