QuestionAugust 27, 2025

Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(10)+(1)/(6) Answer Attemptiout of 2 square

Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(10)+(1)/(6) Answer Attemptiout of 2 square
Evaluate the expression shown below and write your answer as a fraction in simplest form.
(7)/(10)+(1)/(6)
Answer Attemptiout of 2
square

Solution
4.7(210 votes)

Answer

\frac{13}{15} Explanation 1. Find a common denominator The least common multiple of 10 and 6 is 30. 2. Convert fractions to have the same denominator \frac{7}{10} = \frac{21}{30} and \frac{1}{6} = \frac{5}{30}. 3. Add the fractions \frac{21}{30} + \frac{5}{30} = \frac{26}{30}. 4. Simplify the fraction Divide both numerator and denominator by their greatest common divisor, 2: \frac{26}{30} = \frac{13}{15}.

Explanation

1. Find a common denominator<br /> The least common multiple of 10 and 6 is 30.<br />2. Convert fractions to have the same denominator<br /> $\frac{7}{10} = \frac{21}{30}$ and $\frac{1}{6} = \frac{5}{30}$.<br />3. Add the fractions<br /> $\frac{21}{30} + \frac{5}{30} = \frac{26}{30}$.<br />4. Simplify the fraction<br /> Divide both numerator and denominator by their greatest common divisor, 2: $\frac{26}{30} = \frac{13}{15}$.
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