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$Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(10)+(1)/(8) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $\frac{7}{10}+\frac{1}{8}$ $\newline$ 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{7}{10}+\frac{1}{8}

\newline

Answer:

Identify LCD: Identify the least common denominator (LCD) for the fractions $\frac{7}{10}$ and $\frac{1}{8}$ . The denominators are $10$ and $8$ . The LCD for $10$ and $8$ is $40$ because $40$ is the smallest number that both $10$ and $8$ can divide into without leaving a remainder.
Convert fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator. $\newline$ For $\frac{7}{10}$ , we multiply both the numerator and the denominator by $4$ to get $\frac{28}{40}$ . $\newline$ For $\frac{1}{8}$ , we multiply both the numerator and the denominator by $5$ to get $\frac{5}{40}$ .
Add fractions: Add the equivalent fractions. $\newline$ Now that both fractions have the same denominator, we can add them directly. $\newline$ $\frac{28}{40} + \frac{5}{40} = \frac{(28 + 5)}{40} = \frac{33}{40}$
Simplify fraction: Simplify the fraction, if possible. $\newline$ The fraction $\frac{33}{40}$ is already in its simplest form because $33$ and $40$ have no common factors other than $1$ .

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