Convert Fraction to Decimal: Solving 6/15 Step-by-Step

Question

Convert into decimal form:

$\frac{6}{15}$

00:05 Let's convert a fraction into a decimal.

00:09 First, simplify the fraction as much as you can.

00:13 Make sure you divide both the top and bottom numbers evenly.

00:17 Next, change the fraction to have 10 as the bottom number.

00:21 Multiply both top and bottom numbers to do this.

00:27 When the bottom number is 10, your top number is the decimal.

00:33 Remember, dividing by 10 moves the decimal point one spot to the left.

00:38 And that's how you find the decimal number!

Let's divide both the numerator and denominator by a number that will help us get a denominator of 5:

$\frac{6:3}{15:3}=\frac{2}{5}$

Now let's multiply both the numerator and denominator by a number that will help us get a denominator of 10:

$\frac{2\times2}{5\times2}=\frac{4}{10}$

Let's write the simple fraction as a decimal fraction:

$4.0$

Since we are dividing by 10, the decimal point will move one place to the left, so we get:

$.40$

Let's add the 0 before the decimal point as follows:

$0.40=0.4$

0.4