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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -(10)/(3)*(2)/(7) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $-\frac{10}{3} \cdot \frac{2}{7}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

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

\newline

-\frac{10}{3} \cdot \frac{2}{7}

\newline

Answer:

Identify Operation: Identify the operation to be performed. $\newline$ We need to multiply two fractions: $-\frac{10}{3}$ and $\frac{2}{7}$ .
Multiply Numerators: Multiply the numerators of the fractions. $\newline$ Multiply the numerators $10$ and $2$ to get the new numerator. $\newline$ $10 \times 2 = 20$
Multiply Denominators: Multiply the denominators of the fractions. $\newline$ Multiply the denominators $3$ and $7$ to get the new denominator. $\newline$ $3 \times 7 = 21$
Combine Results: Combine the results of the multiplication and apply the negative sign. $\newline$ Since one of the fractions is negative, the result will also be negative. $\newline$ $-\frac{20}{21}$
Check for Simplification: Check if the fraction can be simplified further. $\newline$ The numerator $20$ and the denominator $21$ have no common factors other than $1$ , so the fraction is already in its simplest form.

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