Convert Fraction to Decimal: Solving 2/5 Step by Step

Question

Convert 25 \frac{2}{5} into a decimal.

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction by adjusting its denominator to a base of 100.
  • Step 2: Scale the fraction accordingly and compute the equivalent decimal.
  • Step 3: Compare to the given choices and confirm the result.

Let's work through these steps:
Step 1: We have the fraction 25\frac{2}{5}. To convert 5 to 100, multiply both the numerator and the denominator by 20, because 5×20=1005 \times 20 = 100.

Step 2: Multiply the numerator and denominator to get 40100\frac{40}{100}.

Step 3: The fraction 40100\frac{40}{100} can be written as a decimal:
4040 divided by 100100 is equal to 0.40.4.

Therefore, the solution to the problem is 0.4.

Answer

0.4