Simplify the Fraction: Converting 12/300 to Its Simplest Form

Question

12300= ? \frac{12}{300}=\text{ ?}

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Convert the fraction so that the denominator is a multiple of 10
00:07 Make sure to divide both numerator and denominator
00:14 Write the numerator as a number
00:19 Now according to the denominator, move the decimal point to the left
00:22 There are 2 zeros in the denominator, so move 2 places to the left
00:32 And this is the solution to the question

Step-by-Step Solution

First we will divide both the numerator and denominator by 3 to get 100 in the denominator:

12:3300:3=4100 \frac{12:3}{300:3}=\frac{4}{100}

Now we'll rewrite the simple fraction as a decimal fraction:

4.0 4.0

Since the fraction divides by 100, we'll move the decimal point two places to the left:

.040 .040

Now we will add the zero before the decimal point to get:

0.040=0.04 0.040=0.04

Answer

0.04