To solve the given equation, we need to evaluate both sides of the equation separately and then compare them. The left side is a simple division, and the right side involves adding two fractions. We will calculate each side and check if they are equal.
Step 1: Evaluate the Left Side
The left side of the equation is given by \(\frac{2}{2.5}\). Simplifying this fraction, we have:
\[
\frac{2}{2.5} = \frac{2 \times 10}{2.5 \times 10} = \frac{20}{25} = \frac{4}{5} = 0.8
\]
Step 2: Evaluate the Right Side
The right side of the equation is given by \(\frac{15}{100} + \frac{20}{50}\). Simplifying each fraction, we have:
\[
\frac{15}{100} = \frac{3}{20} = 0.15
\]
\[
\frac{20}{50} = \frac{2}{5} = 0.4
\]
Adding these two results:
\[
0.15 + 0.4 = 0.55
\]
Step 3: Compare Both Sides
Now, we compare the two sides of the equation:
Left side: \(0.8\)
Right side: \(0.55\)
Since \(0.8 \neq 0.55\), the two sides are not equal.
Final Answer
The equation \(\frac{2}{2.5} = \frac{15}{100} + \frac{20}{50}\) is not true. Therefore, the statement is false.