Compare Fractions and Decimals: 25/10 and 0.25 Relationship

Question

Choose the appropriate sign (?):

$\frac{25}{10}?0.25$

00:00 Choose the correct sign

00:03 Convert decimal to simple fraction

00:08 Place the digits in the numerator

00:12 Move the decimal point until we get a whole number to find the denominator

00:15 We moved the decimal point 2 places right, so the denominator equals 100

00:20 Place the fraction instead of the decimal fraction

00:24 Now expand the second fraction to the common denominator 100

00:29 Make sure to multiply both numerator and denominator

00:44 Place this fraction and compare

00:49 Choose the appropriate sign

00:53 And this is the solution to the question

To compare the given values, we first convert the fraction $\frac{25}{10}$ into a decimal form:

Step 1: Simplify $\frac{25}{10}$ .

Divide 25 by 10:

$\frac{25}{10} = 2.5$ .

Step 2: Compare 2.5 and 0.25.

The decimal $2.5$ is clearly greater than $0.25$ .

Thus, the correct comparison sign between the values is greater than.

Therefore, we write:

$\frac{25}{10} > 0.25$ .

Thus, the correct choice is >.