Questions: 2/27 - 5/4

Solution Steps

To subtract the fractions $\frac{2}{27}$ and $\frac{5}{4}$, we first need to find a common denominator. The denominators are 27 and 4. The least common multiple (LCM) of 27 and 4 is 108.

Convert each fraction to have the common denominator of 108:

$$\frac{2}{27} = \frac{2 \times 4}{27 \times 4} = \frac{8}{108}$$

$$\frac{5}{4} = \frac{5 \times 27}{4 \times 27} = \frac{135}{108}$$

Now that both fractions have the same denominator, subtract them:

$$\frac{8}{108} - \frac{135}{108} = \frac{8 - 135}{108} = \frac{-127}{108}$$

Final Answer