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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(10)÷(8)/(3) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{1}{10} \div \frac{8}{3}$ $\newline$ Answer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

\newline

\frac{1}{10} \div \frac{8}{3}

\newline

Answer:

Reciprocal of First Fraction: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator. $\newline$ So, the reciprocal of $(8)/(3)$ is $(3)/(8)$ . $\newline$ Now, we multiply $(1)/(10)$ by $(3)/(8)$ .
Perform Multiplication: Perform the multiplication of the two fractions: $(\frac{1}{10}) \times (\frac{3}{8}) = (\frac{1\times3}{10\times8}) = (\frac{3}{80})$ .
Simplified Fraction: The fraction $(3)/(80)$ is already in its simplest form because $3$ and $80$ have no common factors other than $1$ . Therefore, the simplified fraction is $(3)/(80)$ .