Simplify the Fraction: Solving 25/250 Step by Step

Question

25250= \frac{25}{250}=

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 We want the denominator to be some multiple of 10 and 10
00:07 We'll reduce the fraction, making sure to divide both numerator and denominator
00:14 Convert from fraction to decimal fraction
00:20 And this is the solution to the question

Step-by-Step Solution

To convert the fraction 25250\frac{25}{250} to a decimal, follow these steps:

  • Step 1: Simplify the fraction. To simplify 25250\frac{25}{250}, find the greatest common divisor (GCD) of 25 and 250, which is 25.
  • Step 2: Divide both the numerator and denominator by their GCD.
    25250=25÷25250÷25=110\frac{25}{250} = \frac{25 \div 25}{250 \div 25} = \frac{1}{10}
  • Step 3: Convert the simplified fraction 110\frac{1}{10} to a decimal. The decimal form of 110\frac{1}{10} is 0.1.

Therefore, the decimal equivalent of the fraction 25250\frac{25}{250} is 0.10.1.

Among the choices provided, 0.10.1 matches the computed answer.

Answer

0.1 \text{0}.1