Question

1. draw a model to help solve \\(\frac{5}{6} + \frac{1}{4}\\). write your answer as a mixed number.

Explanation:

Step1: Find a common denominator

The denominators are 6 and 4. The least common denominator (LCD) of 6 and 4 is 12.
To convert \(\frac{5}{6}\) to twelfths: \(\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}\)
To convert \(\frac{1}{4}\) to twelfths: \(\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}\)

Step2: Add the fractions

Now add the two fractions with the common denominator: \(\frac{10}{12}+\frac{3}{12}=\frac{10 + 3}{12}=\frac{13}{12}\)

Step3: Convert to a mixed number

Divide 13 by 12: \(13\div12 = 1\) with a remainder of 1. So, \(\frac{13}{12}=1\frac{1}{12}\)

Answer:

\(1\frac{1}{12}\)