Convert 0.8 to a Simplified Fraction: Step-by-Step Solution

Question

Write the following decimal fraction as a simple fraction and simplify:

$0.8$

00:00 Convert to a simple fraction and reduce as much as possible

00:03 Write the digits after the decimal point as a whole number

00:06 Count how many digits are after the decimal point to determine the denominator

00:09 There is only one digit, so the denominator will be 10

00:14 Divide the fraction by the greatest common factor

00:17 Make sure to divide both numerator and denominator

00:22 Calculate the quotients

00:25 And this is the solution to the question

Since there is one digit after the decimal point, we divide 8 by 10:

$\frac{8}{10}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 2, so:

$\frac{8:2}{10:2}=\frac{4}{5}$

$\frac{4}{5}$