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

Question

12300= ? \frac{12}{300}=\text{ ?}

Video Solution

Solution Steps

00:03 Let's convert it to a decimal fraction. Ready?
00:08 First, change the fraction so the bottom number is a multiple of 10.
00:13 Make sure to divide both the top and bottom numbers equally.
00:17 Next, write down the top number just as it is.
00:22 Now, move the decimal point to the left, based on the number of zeros.
00:27 Here, we have two zeros, so move the decimal point two places left.
00:35 And that's the answer to our question! Great job!

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