Convert 0.58 to a Simplified Fraction: Step-by-Step Solution

Question

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

$0.58$

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

00:07 Count how many digits are after the decimal point to determine the denominator

00:10 There are 2 digits after the decimal point, therefore the denominator will be 100

00:16 Divide the fraction by the greatest common factor

00:22 Make sure to divide both numerator and denominator

00:27 Calculate the numerator

00:31 And this is the solution to the problem

Since there are two digits after the decimal point, we divide 58 by 100:

$\frac{58}{100}$

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

In this case, the number is 2, so:

$\frac{58:2}{100:2}=\frac{29}{50}$

$\frac{29}{50}$