Question

add.
\\(\frac{1}{6} + \frac{6}{11}\\)
simplify to lowest terms.
enter the numerator.
?

Explanation:

Step1: Find a common denominator

The denominators are 6 and 11. The least common denominator (LCD) of 6 and 11 is their product, since they are coprime. So, \( \text{LCD} = 6\times11 = 66 \).

Step2: Rewrite fractions with LCD

For \( \frac{1}{6} \), multiply numerator and denominator by 11: \( \frac{1\times11}{6\times11} = \frac{11}{66} \).
For \( \frac{6}{11} \), multiply numerator and denominator by 6: \( \frac{6\times6}{11\times6} = \frac{36}{66} \).

Step3: Add the fractions

Now add the two fractions: \( \frac{11}{66} + \frac{36}{66} = \frac{11 + 36}{66} \).

Step4: Calculate the numerator

\( 11 + 36 = 47 \).

Answer:

47