\(\frac{5}{12}\) + \(\frac{1}{36}\)
\(\frac{5}{12}\) + \(\frac{1}{36}\)
First, find the least common denominator (LCD) of the two denominators.
12: 12, 24, 36
36: 36
The LCD is 36.
Second, make the denominators the same as the LCD. / Your problem should look like: \(\frac{5x3}{12x3}\) + \(\frac{1}{36}\)
Third, simplify. The denominators are the same now. / Your problem should look like: \(\frac{15}{36}\) + \(\frac{1}{36}\)
Fourth, join the denominators. / Your problem should look like: \(\frac{15+1}{36}\)
Fifth, simplify. / Your problem should look like: \(\frac{16}{36}\)
Sixth, simplify. / Your problem should look like: \(\frac{4}{9}\)
Answer as fraction: \(\frac{4}{9}\)
Answer as decimal: 0.4444
\(\frac{5}{12} + \frac{1}{36} = ( \frac{5}{12} \times \frac{3}{3} ) + ( \frac{1}{36} \times \frac{1}{1} )= \frac{15}{36} + \frac{1}{36} = \frac{15+1}{36} = \frac{16}{36}= \frac{4\times 4}{9\times 4} =\boxed { \frac{4}{9} }\)