Convert Fraction to Decimal: Finding the Decimal Form of 1/2

Question

Convert 12 \frac{1}{2} into a decimal.

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Change the denominator to any multiple of 10 and 10
00:07 Make sure to multiply both numerator and denominator
00:17 Convert to decimal fraction
00:22 When the denominator equals 10, place the numerator right after the decimal point
00:25 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll express the fraction 12 \frac{1}{2} as a decimal following these steps:

  • Step 1: Begin with the fraction 12 \frac{1}{2} .
  • Step 2: To convert this fraction to a denominator of 100, multiply the numerator and the denominator by 50:

1×502×50=50100 \frac{1 \times 50}{2 \times 50} = \frac{50}{100}

This fraction is read as 50 hundredths, which converts directly to the decimal form:

0.5 0.5

Therefore, the decimal representation of the fraction 12 \frac{1}{2} is 0.5.

Answer

0.5