Question

5/9-5/12 as a fraction in simplest form

Answer 1

To subtract the fractions \( \frac{5}{9} - \frac{5}{12} \), we need a common denominator. The least common multiple (LCM) of 9 and 12 is 36.

Next, we convert each fraction to have this common denominator:

1. For \( \frac{5}{9} \):
\[
\frac{5}{9} \times \frac{4}{4} = \frac{20}{36}
\]

2. For \( \frac{5}{12} \):
\[
\frac{5}{12} \times \frac{3}{3} = \frac{15}{36}
\]

Now we can subtract the two fractions:
\[
\frac{20}{36} - \frac{15}{36} = \frac{20 - 15}{36} = \frac{5}{36}
\]

Thus, the answer in simplest form is:
\[
\frac{5}{36}
\]