Convert the Fraction: Simplifying 4/200 to Its Simplest Form

Question

$\frac{4}{200}=$

00:00 Convert to decimal fraction

00:03 Convert the fraction so the denominator is a multiple of 10 and any 10

00:07 Make sure to divide both numerator and denominator

00:16 Write the numerator as a number

00:20 Now according to the denominator move the decimal point to the left

00:23 There are 2 zeros in the denominator, so move 2 places to the left

00:29 And this is the solution to the problem

To solve this problem, we will convert the fraction $\frac{4}{200}$ into a decimal:

Step 1: Simplify the fraction if possible. Notice that both the numerator and the denominator can be divided by 4:
$\frac{4}{200} = \frac{4 \div 4}{200 \div 4} = \frac{1}{50}$ .
Step 2: Convert $\frac{1}{50}$ directly to a decimal by division:
Since $\frac{1}{50} = 0.02$ (as $50$ goes into $100$ twice, making $0.02$ the decimal form).
Step 3: Alternatively, adjust the denominator to 100: Internally, $\frac{1}{50} = \frac{2}{100}$ because multiplying both numerator and denominator by 2 results in a $\frac{2}{100}$ , which is clearly $0.02$ .

Therefore, the decimal representation of $\frac{4}{200}$ is $0.02$ .

0.02