Question
What should 8/15
be multiplied by to get a product of 1?(1 point)
be multiplied by to get a product of 1?(1 point)
Answers
GPT-4o mini
To find the number that \( \frac{8}{15} \) should be multiplied by to get a product of 1, we need to find the reciprocal of \( \frac{8}{15} \).
The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).
So the reciprocal of \( \frac{8}{15} \) is:
\[
\frac{15}{8}
\]
Therefore, \( \frac{8}{15} \) should be multiplied by \( \frac{15}{8} \) to get a product of 1:
\[
\frac{8}{15} \times \frac{15}{8} = 1
\]
Thus, the answer is \( \frac{15}{8} \).
The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).
So the reciprocal of \( \frac{8}{15} \) is:
\[
\frac{15}{8}
\]
Therefore, \( \frac{8}{15} \) should be multiplied by \( \frac{15}{8} \) to get a product of 1:
\[
\frac{8}{15} \times \frac{15}{8} = 1
\]
Thus, the answer is \( \frac{15}{8} \).