Question
3/8×4/9 =
(1 point)
Responses
772
7 over 72
1272
12 over 72
1281
12 over 81
717
(1 point)
Responses
772
7 over 72
1272
12 over 72
1281
12 over 81
717
Answers
GPT-4o mini
To solve the expression \( \frac{3}{8} \times \frac{4}{9} \), you multiply the numerators together and the denominators together:
\[
\frac{3 \times 4}{8 \times 9} = \frac{12}{72}
\]
Now, simplify \( \frac{12}{72} \) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12:
\[
\frac{12 \div 12}{72 \div 12} = \frac{1}{6}
\]
Now, let's look at the provided answers:
1. \( \frac{7}{72} \)
2. \( \frac{12}{72} \) (which we saw earlier)
3. \( \frac{12}{81} \)
4. \( \frac{7}{17} \)
From the answers given, \( \frac{12}{72} \) is indeed present as one of the choices. So the correct response from the options provided is:
**\( 12 \over 72 \)**
\[
\frac{3 \times 4}{8 \times 9} = \frac{12}{72}
\]
Now, simplify \( \frac{12}{72} \) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12:
\[
\frac{12 \div 12}{72 \div 12} = \frac{1}{6}
\]
Now, let's look at the provided answers:
1. \( \frac{7}{72} \)
2. \( \frac{12}{72} \) (which we saw earlier)
3. \( \frac{12}{81} \)
4. \( \frac{7}{17} \)
From the answers given, \( \frac{12}{72} \) is indeed present as one of the choices. So the correct response from the options provided is:
**\( 12 \over 72 \)**