Compare Fraction and Decimal: 3/50 vs 0.06

Question

Choose the appropriate sign (?):

$\frac{3}{50}?0.06$

00:00 Choose the appropriate sign

00:03 Expand the fraction so the denominator equals 100

00:09 Make sure to multiply both numerator and denominator

00:19 Now let's convert from fraction to decimal

00:22 Write the numerator as a whole number

00:26 When denominator equals 100, move the decimal point 2 places left

00:34 Place the decimal instead of the fraction, and compare

00:38 Choose the correct sign

00:41 And this is the solution to the question

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Convert $\frac{3}{50}$ to a decimal. This is done by dividing 3 by 50:

$\frac{3}{50} = 0.06$

Step 2: Compare the decimal value $0.06$ to $0.06$ .

Since both decimal values are the same, the two expressions are equal.

Step 3: Therefore, the comparison sign that satisfies the condition is $=$ .

Thus, the correct answer to the problem is =.