Convert Decimal to Fraction: Simplifying 0.58 to Lowest Terms

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 $\frac{29}{50}$.