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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
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
Answers
GPT-4o mini
To compare 24 apples to 14 oranges using fractional notation, you can express it as \( \frac{24}{14} \).
Now, let's simplify \( \frac{24}{14} \):
1. Find the greatest common divisor (GCD) of 24 and 14, which is 2.
2. Divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 2}{14 \div 2} = \frac{12}{7}
\]
Therefore, the simplest form of the ratio comparing 24 apples to 14 oranges is \( \frac{12}{7} \).
The correct answer is:
**D. 12/7**
Now, let's simplify \( \frac{24}{14} \):
1. Find the greatest common divisor (GCD) of 24 and 14, which is 2.
2. Divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 2}{14 \div 2} = \frac{12}{7}
\]
Therefore, the simplest form of the ratio comparing 24 apples to 14 oranges is \( \frac{12}{7} \).
The correct answer is:
**D. 12/7**