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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (12)/(7)+(1)/(14) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{12}{7}+\frac{1}{14}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

\frac{12}{7}+\frac{1}{14}

\newline

Answer:

Identify Common Denominator: Identify a common denominator for the fractions $(\frac{12}{7})$ and $(\frac{1}{14})$ . $\newline$ The common denominator for $7$ and $14$ is $14$ .
Convert First Fraction: Convert the first fraction $(12/7)$ to have the common denominator of $14$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $(12/7) \times (2/2) = (24/14)$
Add Fractions: Add the converted first fraction $(\frac{24}{14})$ to the second fraction $(\frac{1}{14})$ . $\left(\frac{24}{14}\right) + \left(\frac{1}{14}\right) = \frac{24 + 1}{14}$
Perform Addition: Perform the addition in the numerator. $\newline$ $24 + 1 = 25$ $\newline$ So, $(\frac{24}{14}) + (\frac{1}{14}) = (\frac{25}{14})$
Check for Simplification: Check if the resulting fraction $(25/14)$ can be simplified. $\newline$ Since $25$ and $14$ have no common factors other than $1$ , the fraction is already in its simplest form.

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