Question
Convert 5 and 8/12
to an improper fraction. Write your answer in simplest form.(1 point)
to an improper fraction. Write your answer in simplest form.(1 point)
Answers
GPT-4o mini
To convert the mixed number \( 5 \frac{8}{12} \) to an improper fraction, follow these steps:
1. Multiply the whole number (5) by the denominator (12):
\[
5 \times 12 = 60
\]
2. Add the numerator (8) to the result from step 1:
\[
60 + 8 = 68
\]
3. The improper fraction is \( \frac{68}{12} \).
4. Now, simplify \( \frac{68}{12} \). To do this, find the greatest common divisor (GCD) of 68 and 12, which is 4.
5. Divide both the numerator and denominator by their GCD:
\[
\frac{68 \div 4}{12 \div 4} = \frac{17}{3}
\]
Thus, the improper fraction in simplest form is:
\[
\frac{17}{3}
\]
1. Multiply the whole number (5) by the denominator (12):
\[
5 \times 12 = 60
\]
2. Add the numerator (8) to the result from step 1:
\[
60 + 8 = 68
\]
3. The improper fraction is \( \frac{68}{12} \).
4. Now, simplify \( \frac{68}{12} \). To do this, find the greatest common divisor (GCD) of 68 and 12, which is 4.
5. Divide both the numerator and denominator by their GCD:
\[
\frac{68 \div 4}{12 \div 4} = \frac{17}{3}
\]
Thus, the improper fraction in simplest form is:
\[
\frac{17}{3}
\]