Convert 20.5 to Simplified Fraction: Decimal to Reduced Form

Question

Write 20.5 as a fraction and reduce.

Video Solution

Step-by-Step Solution

To solve the problem of expressing 20.5 20.5 as a fraction and simplifying, we will follow these steps:

  • Step 1: Recognize the whole number part: 20 20 .
  • Step 2: Convert the decimal 0.5 0.5 to a fraction. Since 0.5=510 0.5 = \frac{5}{10} , and dividing the numerator and denominator by their GCD, 5, gives 12 \frac{1}{2} .
  • Step 3: Combine the whole number and the fraction: 2012 20 \frac{1}{2} , which is read as 20 20 and 12 \frac{1}{2} .

Hence, the number 20.5 20.5 as a fraction is 2012 20\frac{1}{2} .

Therefore, the solution to the problem is 2012 20\frac{1}{2} .

Answer

2012 20\frac{1}{2}