Questions: (2/2.5) = 15/100 + 20/50

(2/2.5) = 15/100 + 20/50
Transcript text: (2/2.5) = 15/100 + 20/50
failed

Solution

failed
failed

Solution Steps

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.

\[ \boxed{\text{False}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful