Question
Write the ratio that compares 24 apples to 14 oranges using fractional notation. Simplify the improper fraction in lowest terms
A. 14/24
B. 7/12
) C. 24/14
D. 12/7
A. 14/24
B. 7/12
) C. 24/14
D. 12/7
Answers
GPT-4o mini
To compare 24 apples to 14 oranges using fractional notation, we express the ratio as:
\[
\frac{24}{14}
\]
Next, we simplify this fraction. The greatest common divisor (GCD) of 24 and 14 is 2. We can divide both the numerator and the denominator by 2:
\[
\frac{24 \div 2}{14 \div 2} = \frac{12}{7}
\]
So, the simplified ratio in lowest terms is \(\frac{12}{7}\).
Thus, the correct answer is:
D. \(\frac{12}{7}\)
\[
\frac{24}{14}
\]
Next, we simplify this fraction. The greatest common divisor (GCD) of 24 and 14 is 2. We can divide both the numerator and the denominator by 2:
\[
\frac{24 \div 2}{14 \div 2} = \frac{12}{7}
\]
So, the simplified ratio in lowest terms is \(\frac{12}{7}\).
Thus, the correct answer is:
D. \(\frac{12}{7}\)