Question

allie takes a piece of wood that is 1/6 of an inch thick and glues it to a piece of wood that is 3/10 of an inch thick. together, what is the thickness of the two pieces of wood? write your answer as a fraction or as a whole or mixed number. inches submit

Explanation:

Step1: Find a common denominator

The denominators are 6 and 10. The least common denominator of 6 and 10 is 30.

Step2: Convert fractions

Convert \(\frac{1}{6}\) to \(\frac{5}{30}\) (multiply numerator and denominator by 5) and \(\frac{3}{10}\) to \(\frac{9}{30}\) (multiply numerator and denominator by 3).

Step3: Add the fractions

\(\frac{5}{30}+\frac{9}{30}=\frac{14}{30}\)

Step4: Simplify the fraction

Simplify \(\frac{14}{30}\) by dividing numerator and denominator by 2, we get \(\frac{7}{15}\)

Answer:

\(\frac{7}{15}\)