Question
Find the product and write it in simplest form: three-eighths times two-thirds equals
(1 point)
Responses
Image with alt text:
The term shows 6 over 24.
Image with alt text: The term shows 6 over 24.
Image with alt text:
one-fourth
(1 point)
Responses
Image with alt text:
The term shows 6 over 24.
Image with alt text: The term shows 6 over 24.
Image with alt text:
one-fourth
Answers
GPT-4o mini
To find the product of \(\frac{3}{8}\) and \(\frac{2}{3}\), we multiply the numerators and the denominators:
\[
\frac{3}{8} \times \frac{2}{3} = \frac{3 \times 2}{8 \times 3} = \frac{6}{24}
\]
Now we simplify \(\frac{6}{24}\):
Both the numerator and the denominator can be divided by 6:
\[
\frac{6 \div 6}{24 \div 6} = \frac{1}{4}
\]
Thus, the product of three-eighths times two-thirds in simplest form is:
\[
\frac{1}{4}
\]
\[
\frac{3}{8} \times \frac{2}{3} = \frac{3 \times 2}{8 \times 3} = \frac{6}{24}
\]
Now we simplify \(\frac{6}{24}\):
Both the numerator and the denominator can be divided by 6:
\[
\frac{6 \div 6}{24 \div 6} = \frac{1}{4}
\]
Thus, the product of three-eighths times two-thirds in simplest form is:
\[
\frac{1}{4}
\]