Convert Decimal to Fraction: Simplifying 0.58 to Lowest Terms

Question

Write 0.58 as a fraction and reduce.

00:00 Convert to a simple and reduced fraction

00:03 Place the digits in the numerator

00:08 Move the decimal point right until the number is whole and not decimal

00:14 We moved 2 times, so the denominator will equal 100

00:17 Now let's reduce as much as possible

00:20 Break down 58 into factors 2 and 29, and 100 into factors 2 and 50

00:29 Reduce what we can

00:35 And this is the solution to the question

To convert the decimal number 0.58 to a fraction:

Step 1: Write 0.58 as a fraction with a power of 10 in the denominator. Since there are two decimal places, we write it as:
$0.58 = \frac{58}{100}$
Step 2: Simplify the fraction. Find the greatest common divisor (GCD) of 58 and 100. The GCD is 2.
Step 3: Divide both the numerator and the denominator by their GCD to simplify:
$\frac{58}{100} = \frac{58 \div 2}{100 \div 2} = \frac{29}{50}$

Therefore, the decimal 0.58 expressed as a fraction in its simplest form is $\frac{29}{50}$ .

$\frac{29}{50}$