Compare Fractions and Decimals: Find the Correct Sign for 1/2 ? 0.25

Question

Choose the appropriate sign (?):

$\frac{1}{2}?0.25$

00:00 Choose the appropriate sign

00:04 Expand the fraction so the denominator equals 10

00:08 Make sure to multiply both numerator and denominator

00:17 Now convert from fraction to decimal fraction

00:22 Write the numerator as a whole number

00:25 When denominator equals 10, move the decimal point once to the left

00:29 Replace the fraction with the decimal fraction

00:35 Choose the appropriate sign

00:37 And this is the solution to the question

To compare $\frac{1}{2}$ with 0.25, we will first convert the fraction to a decimal.

Step 1: Convert $\frac{1}{2}$ to a decimal:

To do this, divide 1 by 2:

1 \div 2 = 0.5

Thus, $\frac{1}{2}$ is equivalent to 0.5 when expressed as a decimal.

Step 2: Compare the decimal values:

Now, we clearly see that 0.5 (from $\frac{1}{2}$ ) is greater than 0.25.

Therefore, the appropriate sign for the expression $\frac{1}{2} ? 0.25$ is $\gt$ .