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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (4)/(15)+(11)/(9) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{4}{15}+\frac{11}{9}$ $\newline$ 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{4}{15}+\frac{11}{9}

\newline

Answer:

Find Common Denominator: To add two fractions, we need to find a common denominator. The denominators here are $15$ and $9$ . The least common multiple (LCM) of $15$ and $9$ is $45$ .
Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the denominator of $45$ . For the first fraction, $\frac{4}{15}$ , we multiply both the numerator and the denominator by $3$ to get $\left(\frac{4 \times 3}{15 \times 3}\right) = \frac{12}{45}$ . For the second fraction, $\frac{11}{9}$ , we multiply both the numerator and the denominator by $5$ to get $\left(\frac{11 \times 5}{9 \times 5}\right) = \frac{55}{45}$ .
Add Fractions: Next, we add the two fractions with the common denominator: $\frac{12}{45} + \frac{55}{45} = \left(12 + 55\right) / 45 = \frac{67}{45}$ .
Simplify Fraction: The fraction $\frac{67}{45}$ is already in its simplest form because $67$ and $45$ have no common factors other than $1$ .

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